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Finding the Fourth Proportional to 5,178.83, 7,753.28 and 4,644.68

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Solution

The fourth proportional to 5,178.83, 7,753.28 and 4,644.68 is: 6,953.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.83 : 7,753.28 = 4,644.68 : x
  2. Step 2: Convert to fraction form
    5,178.83/7,753.28 = 4,644.68/x
  3. Step 3: Cross multiply
    5,178.83x = 7,753.28 × 4,644.68
  4. Step 4: Simplify right side
    5,178.83x = 36,011,442.56
  5. Step 5: Solve for x
    x = 36,011,442.56/5,178.83
  6. Step 6: Final answer
    x = 6,953.59

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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.