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Finding the Fourth Proportional to 5,446.32, 7,501.92 and 4,265.28

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Solution

The fourth proportional to 5,446.32, 7,501.92 and 4,265.28 is: 5,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.32 : 7,501.92 = 4,265.28 : x
  2. Step 2: Convert to fraction form
    5,446.32/7,501.92 = 4,265.28/x
  3. Step 3: Cross multiply
    5,446.32x = 7,501.92 × 4,265.28
  4. Step 4: Simplify right side
    5,446.32x = 31,997,789.34
  5. Step 5: Solve for x
    x = 31,997,789.34/5,446.32
  6. Step 6: Final answer
    x = 5,875.12

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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.