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Finding the Fourth Proportional to 3,732.54, 5,148.86 and 2,315.74

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Solution

The fourth proportional to 3,732.54, 5,148.86 and 2,315.74 is: 3,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.54 : 5,148.86 = 2,315.74 : x
  2. Step 2: Convert to fraction form
    3,732.54/5,148.86 = 2,315.74/x
  3. Step 3: Cross multiply
    3,732.54x = 5,148.86 × 2,315.74
  4. Step 4: Simplify right side
    3,732.54x = 11,923,421.06
  5. Step 5: Solve for x
    x = 11,923,421.06/3,732.54
  6. Step 6: Final answer
    x = 3,194.45

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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.