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Finding the Fourth Proportional to 3,404.86, 4,695.82 and 2,876.34

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Solution

The fourth proportional to 3,404.86, 4,695.82 and 2,876.34 is: 3,966.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.86 : 4,695.82 = 2,876.34 : x
  2. Step 2: Convert to fraction form
    3,404.86/4,695.82 = 2,876.34/x
  3. Step 3: Cross multiply
    3,404.86x = 4,695.82 × 2,876.34
  4. Step 4: Simplify right side
    3,404.86x = 13,506,774.90
  5. Step 5: Solve for x
    x = 13,506,774.90/3,404.86
  6. Step 6: Final answer
    x = 3,966.91

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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.