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Finding the Fourth Proportional to 5,683.64, 8,528.12 and 2,564.56

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Solution

The fourth proportional to 5,683.64, 8,528.12 and 2,564.56 is: 3,848.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.64 : 8,528.12 = 2,564.56 : x
  2. Step 2: Convert to fraction form
    5,683.64/8,528.12 = 2,564.56/x
  3. Step 3: Cross multiply
    5,683.64x = 8,528.12 × 2,564.56
  4. Step 4: Simplify right side
    5,683.64x = 21,870,875.43
  5. Step 5: Solve for x
    x = 21,870,875.43/5,683.64
  6. Step 6: Final answer
    x = 3,848.04

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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.