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Finding the Fourth Proportional to 5,478.90, 8,207.55 and 3,281.10

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Solution

The fourth proportional to 5,478.90, 8,207.55 and 3,281.10 is: 4,915.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.90 : 8,207.55 = 3,281.10 : x
  2. Step 2: Convert to fraction form
    5,478.90/8,207.55 = 3,281.10/x
  3. Step 3: Cross multiply
    5,478.90x = 8,207.55 × 3,281.10
  4. Step 4: Simplify right side
    5,478.90x = 26,929,792.31
  5. Step 5: Solve for x
    x = 26,929,792.31/5,478.90
  6. Step 6: Final answer
    x = 4,915.18

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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.