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Finding the Fourth Proportional to 5,716.56, 7,890.18 and 3,359.46

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Solution

The fourth proportional to 5,716.56, 7,890.18 and 3,359.46 is: 4,636.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.56 : 7,890.18 = 3,359.46 : x
  2. Step 2: Convert to fraction form
    5,716.56/7,890.18 = 3,359.46/x
  3. Step 3: Cross multiply
    5,716.56x = 7,890.18 × 3,359.46
  4. Step 4: Simplify right side
    5,716.56x = 26,506,744.10
  5. Step 5: Solve for x
    x = 26,506,744.10/5,716.56
  6. Step 6: Final answer
    x = 4,636.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.