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Finding the Fourth Proportional to 5,359.71, 7,390.62 and 3,658.41

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Solution

The fourth proportional to 5,359.71, 7,390.62 and 3,658.41 is: 5,044.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359.71 : 7,390.62 = 3,658.41 : x
  2. Step 2: Convert to fraction form
    5,359.71/7,390.62 = 3,658.41/x
  3. Step 3: Cross multiply
    5,359.71x = 7,390.62 × 3,658.41
  4. Step 4: Simplify right side
    5,359.71x = 27,037,881.16
  5. Step 5: Solve for x
    x = 27,037,881.16/5,359.71
  6. Step 6: Final answer
    x = 5,044.65

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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.