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Finding the Fourth Proportional to 5,656.30, 7,805.78 and 3,417.87

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Solution

The fourth proportional to 5,656.30, 7,805.78 and 3,417.87 is: 4,716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.30 : 7,805.78 = 3,417.87 : x
  2. Step 2: Convert to fraction form
    5,656.30/7,805.78 = 3,417.87/x
  3. Step 3: Cross multiply
    5,656.30x = 7,805.78 × 3,417.87
  4. Step 4: Simplify right side
    5,656.30x = 26,679,141.29
  5. Step 5: Solve for x
    x = 26,679,141.29/5,656.30
  6. Step 6: Final answer
    x = 4,716.71

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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.