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Finding the Fourth Proportional to 5,712.80, 8,569.20 and 5,097.20

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Solution

The fourth proportional to 5,712.80, 8,569.20 and 5,097.20 is: 7,645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.80 : 8,569.20 = 5,097.20 : x
  2. Step 2: Convert to fraction form
    5,712.80/8,569.20 = 5,097.20/x
  3. Step 3: Cross multiply
    5,712.80x = 8,569.20 × 5,097.20
  4. Step 4: Simplify right side
    5,712.80x = 43,678,926.24
  5. Step 5: Solve for x
    x = 43,678,926.24/5,712.80
  6. Step 6: Final answer
    x = 7,645.80

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.