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Finding the Fourth Proportional to 3,347.92, 4,617.47 and 2,166.94

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Solution

The fourth proportional to 3,347.92, 4,617.47 and 2,166.94 is: 2,988.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.92 : 4,617.47 = 2,166.94 : x
  2. Step 2: Convert to fraction form
    3,347.92/4,617.47 = 2,166.94/x
  3. Step 3: Cross multiply
    3,347.92x = 4,617.47 × 2,166.94
  4. Step 4: Simplify right side
    3,347.92x = 10,005,780.44
  5. Step 5: Solve for x
    x = 10,005,780.44/3,347.92
  6. Step 6: Final answer
    x = 2,988.66

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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.