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Finding the Fourth Proportional to 5,697.66, 7,862.82 and 3,339.88

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Solution

The fourth proportional to 5,697.66, 7,862.82 and 3,339.88 is: 4,609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.66 : 7,862.82 = 3,339.88 : x
  2. Step 2: Convert to fraction form
    5,697.66/7,862.82 = 3,339.88/x
  3. Step 3: Cross multiply
    5,697.66x = 7,862.82 × 3,339.88
  4. Step 4: Simplify right side
    5,697.66x = 26,260,875.26
  5. Step 5: Solve for x
    x = 26,260,875.26/5,697.66
  6. Step 6: Final answer
    x = 4,609.06

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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.