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Finding the Fourth Proportional to 5,424.64, 7,488.16 and 4,665.52

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Solution

The fourth proportional to 5,424.64, 7,488.16 and 4,665.52 is: 6,440.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.64 : 7,488.16 = 4,665.52 : x
  2. Step 2: Convert to fraction form
    5,424.64/7,488.16 = 4,665.52/x
  3. Step 3: Cross multiply
    5,424.64x = 7,488.16 × 4,665.52
  4. Step 4: Simplify right side
    5,424.64x = 34,936,160.24
  5. Step 5: Solve for x
    x = 34,936,160.24/5,424.64
  6. Step 6: Final answer
    x = 6,440.27

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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.