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Finding the Fourth Proportional to 3,490.86, 5,257.07 and 3,148.14

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Solution

The fourth proportional to 3,490.86, 5,257.07 and 3,148.14 is: 4,740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.86 : 5,257.07 = 3,148.14 : x
  2. Step 2: Convert to fraction form
    3,490.86/5,257.07 = 3,148.14/x
  3. Step 3: Cross multiply
    3,490.86x = 5,257.07 × 3,148.14
  4. Step 4: Simplify right side
    3,490.86x = 16,549,976.61
  5. Step 5: Solve for x
    x = 16,549,976.61/3,490.86
  6. Step 6: Final answer
    x = 4,740.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.