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Finding the Fourth Proportional to 3,697.93, 5,102.94 and 2,165.32

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Solution

The fourth proportional to 3,697.93, 5,102.94 and 2,165.32 is: 2,988.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.93 : 5,102.94 = 2,165.32 : x
  2. Step 2: Convert to fraction form
    3,697.93/5,102.94 = 2,165.32/x
  3. Step 3: Cross multiply
    3,697.93x = 5,102.94 × 2,165.32
  4. Step 4: Simplify right side
    3,697.93x = 11,049,503.84
  5. Step 5: Solve for x
    x = 11,049,503.84/3,697.93
  6. Step 6: Final answer
    x = 2,988.03

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1.5x scale

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.