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Finding the Fourth Proportional to 3,541.32, 4,886.63 and 2,049.02

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Solution

The fourth proportional to 3,541.32, 4,886.63 and 2,049.02 is: 2,827.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.32 : 4,886.63 = 2,049.02 : x
  2. Step 2: Convert to fraction form
    3,541.32/4,886.63 = 2,049.02/x
  3. Step 3: Cross multiply
    3,541.32x = 4,886.63 × 2,049.02
  4. Step 4: Simplify right side
    3,541.32x = 10,012,767.92
  5. Step 5: Solve for x
    x = 10,012,767.92/3,541.32
  6. Step 6: Final answer
    x = 2,827.41

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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.