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Finding the Fourth Proportional to 5,102.40, 7,041.32 and 2,864.32

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Solution

The fourth proportional to 5,102.40, 7,041.32 and 2,864.32 is: 3,952.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.40 : 7,041.32 = 2,864.32 : x
  2. Step 2: Convert to fraction form
    5,102.40/7,041.32 = 2,864.32/x
  3. Step 3: Cross multiply
    5,102.40x = 7,041.32 × 2,864.32
  4. Step 4: Simplify right side
    5,102.40x = 20,168,593.70
  5. Step 5: Solve for x
    x = 20,168,593.70/5,102.40
  6. Step 6: Final answer
    x = 3,952.77

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