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Finding the Fourth Proportional to 5,978,597.13, 8,969,319.34 and 1,935,085.64

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Solution

The fourth proportional to 5,978,597.13, 8,969,319.34 and 1,935,085.64 is: 2,903,089.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978,597.13 : 8,969,319.34 = 1,935,085.64 : x
  2. Step 2: Convert to fraction form
    5,978,597.13/8,969,319.34 = 1,935,085.64/x
  3. Step 3: Cross multiply
    5,978,597.13x = 8,969,319.34 × 1,935,085.64
  4. Step 4: Simplify right side
    5,978,597.13x = 17,356,401,005,723.97
  5. Step 5: Solve for x
    x = 17,356,401,005,723.97/5,978,597.13
  6. Step 6: Final answer
    x = 2,903,089.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.