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Finding the Fourth Proportional to 5,317.46, 7,983.26 and 4,542.45

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Solution

The fourth proportional to 5,317.46, 7,983.26 and 4,542.45 is: 6,819.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317.46 : 7,983.26 = 4,542.45 : x
  2. Step 2: Convert to fraction form
    5,317.46/7,983.26 = 4,542.45/x
  3. Step 3: Cross multiply
    5,317.46x = 7,983.26 × 4,542.45
  4. Step 4: Simplify right side
    5,317.46x = 36,263,523.77
  5. Step 5: Solve for x
    x = 36,263,523.77/5,317.46
  6. Step 6: Final answer
    x = 6,819.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.