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Finding the Fourth Proportional to 5,610.47, 8,400.65 and 3,138.24

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Solution

The fourth proportional to 5,610.47, 8,400.65 and 3,138.24 is: 4,698.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.47 : 8,400.65 = 3,138.24 : x
  2. Step 2: Convert to fraction form
    5,610.47/8,400.65 = 3,138.24/x
  3. Step 3: Cross multiply
    5,610.47x = 8,400.65 × 3,138.24
  4. Step 4: Simplify right side
    5,610.47x = 26,363,271.67
  5. Step 5: Solve for x
    x = 26,363,271.67/5,610.47
  6. Step 6: Final answer
    x = 4,698.95

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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.