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Finding the Fourth Proportional to 5,530.50, 8,287.04 and 3,862.98

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Solution

The fourth proportional to 5,530.50, 8,287.04 and 3,862.98 is: 5,788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530.50 : 8,287.04 = 3,862.98 : x
  2. Step 2: Convert to fraction form
    5,530.50/8,287.04 = 3,862.98/x
  3. Step 3: Cross multiply
    5,530.50x = 8,287.04 × 3,862.98
  4. Step 4: Simplify right side
    5,530.50x = 32,012,669.78
  5. Step 5: Solve for x
    x = 32,012,669.78/5,530.50
  6. Step 6: Final answer
    x = 5,788.39

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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.