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Finding the Fourth Proportional to 4,792.32, 7,167.36 and 4,442.24

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Solution

The fourth proportional to 4,792.32, 7,167.36 and 4,442.24 is: 6,643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.32 : 7,167.36 = 4,442.24 : x
  2. Step 2: Convert to fraction form
    4,792.32/7,167.36 = 4,442.24/x
  3. Step 3: Cross multiply
    4,792.32x = 7,167.36 × 4,442.24
  4. Step 4: Simplify right side
    4,792.32x = 31,839,133.29
  5. Step 5: Solve for x
    x = 31,839,133.29/4,792.32
  6. Step 6: Final answer
    x = 6,643.78

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