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Finding the Fourth Proportional to 5,097.60, 7,605.60 and 4,543.20

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Solution

The fourth proportional to 5,097.60, 7,605.60 and 4,543.20 is: 6,778.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.60 : 7,605.60 = 4,543.20 : x
  2. Step 2: Convert to fraction form
    5,097.60/7,605.60 = 4,543.20/x
  3. Step 3: Cross multiply
    5,097.60x = 7,605.60 × 4,543.20
  4. Step 4: Simplify right side
    5,097.60x = 34,553,761.92
  5. Step 5: Solve for x
    x = 34,553,761.92/5,097.60
  6. Step 6: Final answer
    x = 6,778.44

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1.5x scale

Why These Related Problems?

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