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Finding the Fourth Proportional to 4,283.74, 5,909.52 and 2,491.21

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Solution

The fourth proportional to 4,283.74, 5,909.52 and 2,491.21 is: 3,436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283.74 : 5,909.52 = 2,491.21 : x
  2. Step 2: Convert to fraction form
    4,283.74/5,909.52 = 2,491.21/x
  3. Step 3: Cross multiply
    4,283.74x = 5,909.52 × 2,491.21
  4. Step 4: Simplify right side
    4,283.74x = 14,721,855.32
  5. Step 5: Solve for x
    x = 14,721,855.32/4,283.74
  6. Step 6: Final answer
    x = 3,436.68

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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.