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Finding the Fourth Proportional to 3,573.28, 4,931 and 1,979.86

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Solution

The fourth proportional to 3,573.28, 4,931 and 1,979.86 is: 2,732.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,573.28 : 4,931 = 1,979.86 : x
  2. Step 2: Convert to fraction form
    3,573.28/4,931 = 1,979.86/x
  3. Step 3: Cross multiply
    3,573.28x = 4,931 × 1,979.86
  4. Step 4: Simplify right side
    3,573.28x = 9,762,689.66
  5. Step 5: Solve for x
    x = 9,762,689.66/3,573.28
  6. Step 6: Final answer
    x = 2,732.14

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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.