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Finding the Fourth Proportional to 3,442.08, 4,750.17 and 2,116.56

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Solution

The fourth proportional to 3,442.08, 4,750.17 and 2,116.56 is: 2,920.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.08 : 4,750.17 = 2,116.56 : x
  2. Step 2: Convert to fraction form
    3,442.08/4,750.17 = 2,116.56/x
  3. Step 3: Cross multiply
    3,442.08x = 4,750.17 × 2,116.56
  4. Step 4: Simplify right side
    3,442.08x = 10,054,019.82
  5. Step 5: Solve for x
    x = 10,054,019.82/3,442.08
  6. Step 6: Final answer
    x = 2,920.91

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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.