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Finding the Fourth Proportional to 6,166.90, 8,498.70 and 4,462.52

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Solution

The fourth proportional to 6,166.90, 8,498.70 and 4,462.52 is: 6,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.90 : 8,498.70 = 4,462.52 : x
  2. Step 2: Convert to fraction form
    6,166.90/8,498.70 = 4,462.52/x
  3. Step 3: Cross multiply
    6,166.90x = 8,498.70 × 4,462.52
  4. Step 4: Simplify right side
    6,166.90x = 37,925,596.41
  5. Step 5: Solve for x
    x = 37,925,596.41/6,166.90
  6. Step 6: Final answer
    x = 6,149.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.