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Finding the Fourth Proportional to 3,641.70, 5,025.54 and 2,069.88

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Solution

The fourth proportional to 3,641.70, 5,025.54 and 2,069.88 is: 2,856.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.70 : 5,025.54 = 2,069.88 : x
  2. Step 2: Convert to fraction form
    3,641.70/5,025.54 = 2,069.88/x
  3. Step 3: Cross multiply
    3,641.70x = 5,025.54 × 2,069.88
  4. Step 4: Simplify right side
    3,641.70x = 10,402,264.74
  5. Step 5: Solve for x
    x = 10,402,264.74/3,641.70
  6. Step 6: Final answer
    x = 2,856.43

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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.