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Finding the Fourth Proportional to 4,839.52, 7,258.12 and 1,552

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Solution

The fourth proportional to 4,839.52, 7,258.12 and 1,552 is: 2,327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,839.52 : 7,258.12 = 1,552 : x
  2. Step 2: Convert to fraction form
    4,839.52/7,258.12 = 1,552/x
  3. Step 3: Cross multiply
    4,839.52x = 7,258.12 × 1,552
  4. Step 4: Simplify right side
    4,839.52x = 11,264,602.24
  5. Step 5: Solve for x
    x = 11,264,602.24/4,839.52
  6. Step 6: Final answer
    x = 2,327.63

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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.