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Finding the Fourth Proportional to 5,724.68, 8,586.99 and 3,776.40

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Solution

The fourth proportional to 5,724.68, 8,586.99 and 3,776.40 is: 5,664.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.68 : 8,586.99 = 3,776.40 : x
  2. Step 2: Convert to fraction form
    5,724.68/8,586.99 = 3,776.40/x
  3. Step 3: Cross multiply
    5,724.68x = 8,586.99 × 3,776.40
  4. Step 4: Simplify right side
    5,724.68x = 32,427,909.04
  5. Step 5: Solve for x
    x = 32,427,909.04/5,724.68
  6. Step 6: Final answer
    x = 5,664.59

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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.