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Finding the Fourth Proportional to 5,656.12, 7,805.43 and 3,417.55

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Solution

The fourth proportional to 5,656.12, 7,805.43 and 3,417.55 is: 4,716.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.12 : 7,805.43 = 3,417.55 : x
  2. Step 2: Convert to fraction form
    5,656.12/7,805.43 = 3,417.55/x
  3. Step 3: Cross multiply
    5,656.12x = 7,805.43 × 3,417.55
  4. Step 4: Simplify right side
    5,656.12x = 26,675,427.78
  5. Step 5: Solve for x
    x = 26,675,427.78/5,656.12
  6. Step 6: Final answer
    x = 4,716.21

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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.