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Finding the Fourth Proportional to 5,122.64, 7,067.88 and 4,329.20

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Solution

The fourth proportional to 5,122.64, 7,067.88 and 4,329.20 is: 5,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.64 : 7,067.88 = 4,329.20 : x
  2. Step 2: Convert to fraction form
    5,122.64/7,067.88 = 4,329.20/x
  3. Step 3: Cross multiply
    5,122.64x = 7,067.88 × 4,329.20
  4. Step 4: Simplify right side
    5,122.64x = 30,598,266.10
  5. Step 5: Solve for x
    x = 30,598,266.10/5,122.64
  6. Step 6: Final answer
    x = 5,973.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.