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Finding the Fourth Proportional to 3,407.34, 5,115.33 and 2,897.58

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Solution

The fourth proportional to 3,407.34, 5,115.33 and 2,897.58 is: 4,350.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.34 : 5,115.33 = 2,897.58 : x
  2. Step 2: Convert to fraction form
    3,407.34/5,115.33 = 2,897.58/x
  3. Step 3: Cross multiply
    3,407.34x = 5,115.33 × 2,897.58
  4. Step 4: Simplify right side
    3,407.34x = 14,822,077.90
  5. Step 5: Solve for x
    x = 14,822,077.90/3,407.34
  6. Step 6: Final answer
    x = 4,350.04

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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.