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Finding the Fourth Proportional to 5,614,023.24, 7,747,346.52 and 3,035,697.88

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Solution

The fourth proportional to 5,614,023.24, 7,747,346.52 and 3,035,697.88 is: 4,189,260.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614,023.24 : 7,747,346.52 = 3,035,697.88 : x
  2. Step 2: Convert to fraction form
    5,614,023.24/7,747,346.52 = 3,035,697.88/x
  3. Step 3: Cross multiply
    5,614,023.24x = 7,747,346.52 × 3,035,697.88
  4. Step 4: Simplify right side
    5,614,023.24x = 23,518,603,406,389.38
  5. Step 5: Solve for x
    x = 23,518,603,406,389.38/5,614,023.24
  6. Step 6: Final answer
    x = 4,189,260.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.