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Finding the Fourth Proportional to 3,125.76, 4,689.24 and 1,394.40

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Solution

The fourth proportional to 3,125.76, 4,689.24 and 1,394.40 is: 2,091.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.76 : 4,689.24 = 1,394.40 : x
  2. Step 2: Convert to fraction form
    3,125.76/4,689.24 = 1,394.40/x
  3. Step 3: Cross multiply
    3,125.76x = 4,689.24 × 1,394.40
  4. Step 4: Simplify right side
    3,125.76x = 6,538,676.26
  5. Step 5: Solve for x
    x = 6,538,676.26/3,125.76
  6. Step 6: Final answer
    x = 2,091.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.