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Finding the Fourth Proportional to 3,862.08, 5,796 and 2,402.88

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Solution

The fourth proportional to 3,862.08, 5,796 and 2,402.88 is: 3,606.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.08 : 5,796 = 2,402.88 : x
  2. Step 2: Convert to fraction form
    3,862.08/5,796 = 2,402.88/x
  3. Step 3: Cross multiply
    3,862.08x = 5,796 × 2,402.88
  4. Step 4: Simplify right side
    3,862.08x = 13,927,092.48
  5. Step 5: Solve for x
    x = 13,927,092.48/3,862.08
  6. Step 6: Final answer
    x = 3,606.11

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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.