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Finding the Fourth Proportional to 3,656.93, 5,047.65 and 2,145.33

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Solution

The fourth proportional to 3,656.93, 5,047.65 and 2,145.33 is: 2,961.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.93 : 5,047.65 = 2,145.33 : x
  2. Step 2: Convert to fraction form
    3,656.93/5,047.65 = 2,145.33/x
  3. Step 3: Cross multiply
    3,656.93x = 5,047.65 × 2,145.33
  4. Step 4: Simplify right side
    3,656.93x = 10,828,874.97
  5. Step 5: Solve for x
    x = 10,828,874.97/3,656.93
  6. Step 6: Final answer
    x = 2,961.20

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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.