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Finding the Fourth Proportional to 2,572.64, 3,547.60 and 2,200.85

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Solution

The fourth proportional to 2,572.64, 3,547.60 and 2,200.85 is: 3,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.64 : 3,547.60 = 2,200.85 : x
  2. Step 2: Convert to fraction form
    2,572.64/3,547.60 = 2,200.85/x
  3. Step 3: Cross multiply
    2,572.64x = 3,547.60 × 2,200.85
  4. Step 4: Simplify right side
    2,572.64x = 7,807,745.48
  5. Step 5: Solve for x
    x = 7,807,745.48/2,572.64
  6. Step 6: Final answer
    x = 3,034.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.