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Finding the Fourth Proportional to 3,656.76, 5,045.94 and 2,144.08

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Solution

The fourth proportional to 3,656.76, 5,045.94 and 2,144.08 is: 2,958.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.76 : 5,045.94 = 2,144.08 : x
  2. Step 2: Convert to fraction form
    3,656.76/5,045.94 = 2,144.08/x
  3. Step 3: Cross multiply
    3,656.76x = 5,045.94 × 2,144.08
  4. Step 4: Simplify right side
    3,656.76x = 10,818,899.04
  5. Step 5: Solve for x
    x = 10,818,899.04/3,656.76
  6. Step 6: Final answer
    x = 2,958.60

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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.