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Finding the Fourth Proportional to 5,657.97, 8,487.01 and 1,709.26

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Solution

The fourth proportional to 5,657.97, 8,487.01 and 1,709.26 is: 2,563.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.97 : 8,487.01 = 1,709.26 : x
  2. Step 2: Convert to fraction form
    5,657.97/8,487.01 = 1,709.26/x
  3. Step 3: Cross multiply
    5,657.97x = 8,487.01 × 1,709.26
  4. Step 4: Simplify right side
    5,657.97x = 14,506,490.06
  5. Step 5: Solve for x
    x = 14,506,490.06/5,657.97
  6. Step 6: Final answer
    x = 2,563.90

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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.