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Finding the Fourth Proportional to 5,656.18, 7,805.50 and 3,138.22

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Solution

The fourth proportional to 5,656.18, 7,805.50 and 3,138.22 is: 4,330.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.18 : 7,805.50 = 3,138.22 : x
  2. Step 2: Convert to fraction form
    5,656.18/7,805.50 = 3,138.22/x
  3. Step 3: Cross multiply
    5,656.18x = 7,805.50 × 3,138.22
  4. Step 4: Simplify right side
    5,656.18x = 24,495,376.21
  5. Step 5: Solve for x
    x = 24,495,376.21/5,656.18
  6. Step 6: Final answer
    x = 4,330.73

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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.