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Finding the Fourth Proportional to 5,713, 8,569.65 and 1,817.41

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Solution

The fourth proportional to 5,713, 8,569.65 and 1,817.41 is: 2,726.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713 : 8,569.65 = 1,817.41 : x
  2. Step 2: Convert to fraction form
    5,713/8,569.65 = 1,817.41/x
  3. Step 3: Cross multiply
    5,713x = 8,569.65 × 1,817.41
  4. Step 4: Simplify right side
    5,713x = 15,574,567.61
  5. Step 5: Solve for x
    x = 15,574,567.61/5,713
  6. Step 6: Final answer
    x = 2,726.16

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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.