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Finding the Fourth Proportional to 5,817.35, 8,726.40 and 1,657.73

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Solution

The fourth proportional to 5,817.35, 8,726.40 and 1,657.73 is: 2,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.35 : 8,726.40 = 1,657.73 : x
  2. Step 2: Convert to fraction form
    5,817.35/8,726.40 = 1,657.73/x
  3. Step 3: Cross multiply
    5,817.35x = 8,726.40 × 1,657.73
  4. Step 4: Simplify right side
    5,817.35x = 14,466,036.89
  5. Step 5: Solve for x
    x = 14,466,036.89/5,817.35
  6. Step 6: Final answer
    x = 2,486.70

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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.