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Finding the Fourth Proportional to 3,458.16, 4,773.36 and 2,132.48

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Solution

The fourth proportional to 3,458.16, 4,773.36 and 2,132.48 is: 2,943.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.16 : 4,773.36 = 2,132.48 : x
  2. Step 2: Convert to fraction form
    3,458.16/4,773.36 = 2,132.48/x
  3. Step 3: Cross multiply
    3,458.16x = 4,773.36 × 2,132.48
  4. Step 4: Simplify right side
    3,458.16x = 10,179,094.73
  5. Step 5: Solve for x
    x = 10,179,094.73/3,458.16
  6. Step 6: Final answer
    x = 2,943.50

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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.