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Finding the Fourth Proportional to 5,656.29, 7,805.75 and 3,138.45

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Solution

The fourth proportional to 5,656.29, 7,805.75 and 3,138.45 is: 4,331.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.29 : 7,805.75 = 3,138.45 : x
  2. Step 2: Convert to fraction form
    5,656.29/7,805.75 = 3,138.45/x
  3. Step 3: Cross multiply
    5,656.29x = 7,805.75 × 3,138.45
  4. Step 4: Simplify right side
    5,656.29x = 24,497,940.40
  5. Step 5: Solve for x
    x = 24,497,940.40/5,656.29
  6. Step 6: Final answer
    x = 4,331.10

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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.