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Finding the Fourth Proportional to 3,478.66, 4,801.71 and 2,115.91

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Solution

The fourth proportional to 3,478.66, 4,801.71 and 2,115.91 is: 2,920.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.66 : 4,801.71 = 2,115.91 : x
  2. Step 2: Convert to fraction form
    3,478.66/4,801.71 = 2,115.91/x
  3. Step 3: Cross multiply
    3,478.66x = 4,801.71 × 2,115.91
  4. Step 4: Simplify right side
    3,478.66x = 10,159,986.21
  5. Step 5: Solve for x
    x = 10,159,986.21/3,478.66
  6. Step 6: Final answer
    x = 2,920.66

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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.