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Finding the Fourth Proportional to 3,442.51, 5,156.56 and 2,203.62

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Solution

The fourth proportional to 3,442.51, 5,156.56 and 2,203.62 is: 3,300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.51 : 5,156.56 = 2,203.62 : x
  2. Step 2: Convert to fraction form
    3,442.51/5,156.56 = 2,203.62/x
  3. Step 3: Cross multiply
    3,442.51x = 5,156.56 × 2,203.62
  4. Step 4: Simplify right side
    3,442.51x = 11,363,098.75
  5. Step 5: Solve for x
    x = 11,363,098.75/3,442.51
  6. Step 6: Final answer
    x = 3,300.82

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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.