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Finding the Fourth Proportional to 3,772.16, 5,658.76 and 1,306.32

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Solution

The fourth proportional to 3,772.16, 5,658.76 and 1,306.32 is: 1,959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.16 : 5,658.76 = 1,306.32 : x
  2. Step 2: Convert to fraction form
    3,772.16/5,658.76 = 1,306.32/x
  3. Step 3: Cross multiply
    3,772.16x = 5,658.76 × 1,306.32
  4. Step 4: Simplify right side
    3,772.16x = 7,392,151.36
  5. Step 5: Solve for x
    x = 7,392,151.36/3,772.16
  6. Step 6: Final answer
    x = 1,959.66

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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.