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Finding the Fourth Proportional to 3,657.98, 5,047.65 and 2,064.49

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Solution

The fourth proportional to 3,657.98, 5,047.65 and 2,064.49 is: 2,848.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.98 : 5,047.65 = 2,064.49 : x
  2. Step 2: Convert to fraction form
    3,657.98/5,047.65 = 2,064.49/x
  3. Step 3: Cross multiply
    3,657.98x = 5,047.65 × 2,064.49
  4. Step 4: Simplify right side
    3,657.98x = 10,420,810.33
  5. Step 5: Solve for x
    x = 10,420,810.33/3,657.98
  6. Step 6: Final answer
    x = 2,848.79

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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.