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Finding the Fourth Proportional to 5,534.52, 8,300.25 and 1,585.50

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Solution

The fourth proportional to 5,534.52, 8,300.25 and 1,585.50 is: 2,377.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,534.52 : 8,300.25 = 1,585.50 : x
  2. Step 2: Convert to fraction form
    5,534.52/8,300.25 = 1,585.50/x
  3. Step 3: Cross multiply
    5,534.52x = 8,300.25 × 1,585.50
  4. Step 4: Simplify right side
    5,534.52x = 13,160,046.38
  5. Step 5: Solve for x
    x = 13,160,046.38/5,534.52
  6. Step 6: Final answer
    x = 2,377.81

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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.