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Finding the Fourth Proportional to 3,548.74, 4,899.22 and 2,132.77

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Solution

The fourth proportional to 3,548.74, 4,899.22 and 2,132.77 is: 2,944.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.74 : 4,899.22 = 2,132.77 : x
  2. Step 2: Convert to fraction form
    3,548.74/4,899.22 = 2,132.77/x
  3. Step 3: Cross multiply
    3,548.74x = 4,899.22 × 2,132.77
  4. Step 4: Simplify right side
    3,548.74x = 10,448,900.15
  5. Step 5: Solve for x
    x = 10,448,900.15/3,548.74
  6. Step 6: Final answer
    x = 2,944.40

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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.