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Finding the Fourth Proportional to 5,780.70, 7,969.43 and 3,655.17

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Solution

The fourth proportional to 5,780.70, 7,969.43 and 3,655.17 is: 5,039.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.70 : 7,969.43 = 3,655.17 : x
  2. Step 2: Convert to fraction form
    5,780.70/7,969.43 = 3,655.17/x
  3. Step 3: Cross multiply
    5,780.70x = 7,969.43 × 3,655.17
  4. Step 4: Simplify right side
    5,780.70x = 29,129,621.45
  5. Step 5: Solve for x
    x = 29,129,621.45/5,780.70
  6. Step 6: Final answer
    x = 5,039.12

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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.