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Finding the Fourth Proportional to 5,178.45, 7,752.71 and 4,644.31

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Solution

The fourth proportional to 5,178.45, 7,752.71 and 4,644.31 is: 6,953.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.45 : 7,752.71 = 4,644.31 : x
  2. Step 2: Convert to fraction form
    5,178.45/7,752.71 = 4,644.31/x
  3. Step 3: Cross multiply
    5,178.45x = 7,752.71 × 4,644.31
  4. Step 4: Simplify right side
    5,178.45x = 36,005,988.58
  5. Step 5: Solve for x
    x = 36,005,988.58/5,178.45
  6. Step 6: Final answer
    x = 6,953.04

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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.