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Finding the Fourth Proportional to 5,592.06, 8,385.50 and 5,154.30

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Solution

The fourth proportional to 5,592.06, 8,385.50 and 5,154.30 is: 7,729.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,592.06 : 8,385.50 = 5,154.30 : x
  2. Step 2: Convert to fraction form
    5,592.06/8,385.50 = 5,154.30/x
  3. Step 3: Cross multiply
    5,592.06x = 8,385.50 × 5,154.30
  4. Step 4: Simplify right side
    5,592.06x = 43,221,382.65
  5. Step 5: Solve for x
    x = 43,221,382.65/5,592.06
  6. Step 6: Final answer
    x = 7,729.06

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Why These Related Problems?

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