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Finding the Fourth Proportional to 6,217.60, 9,280.80 and 5,440

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Solution

The fourth proportional to 6,217.60, 9,280.80 and 5,440 is: 8,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217.60 : 9,280.80 = 5,440 : x
  2. Step 2: Convert to fraction form
    6,217.60/9,280.80 = 5,440/x
  3. Step 3: Cross multiply
    6,217.60x = 9,280.80 × 5,440
  4. Step 4: Simplify right side
    6,217.60x = 50,487,552.00
  5. Step 5: Solve for x
    x = 50,487,552.00/6,217.60
  6. Step 6: Final answer
    x = 8,120.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.