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Finding the Fourth Proportional to 5,547.75, 8,321.64 and 2,082.57

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Solution

The fourth proportional to 5,547.75, 8,321.64 and 2,082.57 is: 3,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.75 : 8,321.64 = 2,082.57 : x
  2. Step 2: Convert to fraction form
    5,547.75/8,321.64 = 2,082.57/x
  3. Step 3: Cross multiply
    5,547.75x = 8,321.64 × 2,082.57
  4. Step 4: Simplify right side
    5,547.75x = 17,330,397.81
  5. Step 5: Solve for x
    x = 17,330,397.81/5,547.75
  6. Step 6: Final answer
    x = 3,123.86

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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.