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Finding the Fourth Proportional to 4,486.47, 6,726.42 and 2,113.74

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Solution

The fourth proportional to 4,486.47, 6,726.42 and 2,113.74 is: 3,169.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.47 : 6,726.42 = 2,113.74 : x
  2. Step 2: Convert to fraction form
    4,486.47/6,726.42 = 2,113.74/x
  3. Step 3: Cross multiply
    4,486.47x = 6,726.42 × 2,113.74
  4. Step 4: Simplify right side
    4,486.47x = 14,217,903.01
  5. Step 5: Solve for x
    x = 14,217,903.01/4,486.47
  6. Step 6: Final answer
    x = 3,169.06

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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.