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Finding the Fourth Proportional to 3,542.64, 5,314.32 and 945.76

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Solution

The fourth proportional to 3,542.64, 5,314.32 and 945.76 is: 1,418.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.64 : 5,314.32 = 945.76 : x
  2. Step 2: Convert to fraction form
    3,542.64/5,314.32 = 945.76/x
  3. Step 3: Cross multiply
    3,542.64x = 5,314.32 × 945.76
  4. Step 4: Simplify right side
    3,542.64x = 5,026,071.28
  5. Step 5: Solve for x
    x = 5,026,071.28/3,542.64
  6. Step 6: Final answer
    x = 1,418.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.