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Finding the Fourth Proportional to 3,280.72, 4,916.92 and 3,246

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Solution

The fourth proportional to 3,280.72, 4,916.92 and 3,246 is: 4,864.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.72 : 4,916.92 = 3,246 : x
  2. Step 2: Convert to fraction form
    3,280.72/4,916.92 = 3,246/x
  3. Step 3: Cross multiply
    3,280.72x = 4,916.92 × 3,246
  4. Step 4: Simplify right side
    3,280.72x = 15,960,322.32
  5. Step 5: Solve for x
    x = 15,960,322.32/3,280.72
  6. Step 6: Final answer
    x = 4,864.88

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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.