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Finding the Fourth Proportional to 3,657.56, 5,047.46 and 2,064.59

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Solution

The fourth proportional to 3,657.56, 5,047.46 and 2,064.59 is: 2,849.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.56 : 5,047.46 = 2,064.59 : x
  2. Step 2: Convert to fraction form
    3,657.56/5,047.46 = 2,064.59/x
  3. Step 3: Cross multiply
    3,657.56x = 5,047.46 × 2,064.59
  4. Step 4: Simplify right side
    3,657.56x = 10,420,937.74
  5. Step 5: Solve for x
    x = 10,420,937.74/3,657.56
  6. Step 6: Final answer
    x = 2,849.15

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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.