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Finding the Fourth Proportional to 4,549.61, 6,824.10 and 1,217.60

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Solution

The fourth proportional to 4,549.61, 6,824.10 and 1,217.60 is: 1,826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.61 : 6,824.10 = 1,217.60 : x
  2. Step 2: Convert to fraction form
    4,549.61/6,824.10 = 1,217.60/x
  3. Step 3: Cross multiply
    4,549.61x = 6,824.10 × 1,217.60
  4. Step 4: Simplify right side
    4,549.61x = 8,309,024.16
  5. Step 5: Solve for x
    x = 8,309,024.16/4,549.61
  6. Step 6: Final answer
    x = 1,826.32

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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.