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Finding the Fourth Proportional to 5,461.86, 8,193.39 and 1,566.90

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Solution

The fourth proportional to 5,461.86, 8,193.39 and 1,566.90 is: 2,350.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.86 : 8,193.39 = 1,566.90 : x
  2. Step 2: Convert to fraction form
    5,461.86/8,193.39 = 1,566.90/x
  3. Step 3: Cross multiply
    5,461.86x = 8,193.39 × 1,566.90
  4. Step 4: Simplify right side
    5,461.86x = 12,838,222.79
  5. Step 5: Solve for x
    x = 12,838,222.79/5,461.86
  6. Step 6: Final answer
    x = 2,350.52

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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.