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Finding the Fourth Proportional to 4,339.61, 6,508.17 and 1,416.32

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Solution

The fourth proportional to 4,339.61, 6,508.17 and 1,416.32 is: 2,124.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339.61 : 6,508.17 = 1,416.32 : x
  2. Step 2: Convert to fraction form
    4,339.61/6,508.17 = 1,416.32/x
  3. Step 3: Cross multiply
    4,339.61x = 6,508.17 × 1,416.32
  4. Step 4: Simplify right side
    4,339.61x = 9,217,618.79
  5. Step 5: Solve for x
    x = 9,217,618.79/4,339.61
  6. Step 6: Final answer
    x = 2,124.07

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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.