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Finding the Fourth Proportional to 5,683.68, 8,528.28 and 2,565.84

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Solution

The fourth proportional to 5,683.68, 8,528.28 and 2,565.84 is: 3,850.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.68 : 8,528.28 = 2,565.84 : x
  2. Step 2: Convert to fraction form
    5,683.68/8,528.28 = 2,565.84/x
  3. Step 3: Cross multiply
    5,683.68x = 8,528.28 × 2,565.84
  4. Step 4: Simplify right side
    5,683.68x = 21,882,201.96
  5. Step 5: Solve for x
    x = 21,882,201.96/5,683.68
  6. Step 6: Final answer
    x = 3,850.01

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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.