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Finding the Fourth Proportional to 5,724.87, 7,901.03 and 3,487.07

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Solution

The fourth proportional to 5,724.87, 7,901.03 and 3,487.07 is: 4,812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.87 : 7,901.03 = 3,487.07 : x
  2. Step 2: Convert to fraction form
    5,724.87/7,901.03 = 3,487.07/x
  3. Step 3: Cross multiply
    5,724.87x = 7,901.03 × 3,487.07
  4. Step 4: Simplify right side
    5,724.87x = 27,551,447.00
  5. Step 5: Solve for x
    x = 27,551,447.00/5,724.87
  6. Step 6: Final answer
    x = 4,812.59

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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.