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Finding the Fourth Proportional to 5,097.53, 7,035.08 and 2,972.90

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Solution

The fourth proportional to 5,097.53, 7,035.08 and 2,972.90 is: 4,102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.53 : 7,035.08 = 2,972.90 : x
  2. Step 2: Convert to fraction form
    5,097.53/7,035.08 = 2,972.90/x
  3. Step 3: Cross multiply
    5,097.53x = 7,035.08 × 2,972.90
  4. Step 4: Simplify right side
    5,097.53x = 20,914,539.29
  5. Step 5: Solve for x
    x = 20,914,539.29/5,097.53
  6. Step 6: Final answer
    x = 4,102.88

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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.