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Finding the Fourth Proportional to 4,681, 7,026.90 and 2,377.36

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Solution

The fourth proportional to 4,681, 7,026.90 and 2,377.36 is: 3,568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681 : 7,026.90 = 2,377.36 : x
  2. Step 2: Convert to fraction form
    4,681/7,026.90 = 2,377.36/x
  3. Step 3: Cross multiply
    4,681x = 7,026.90 × 2,377.36
  4. Step 4: Simplify right side
    4,681x = 16,705,470.98
  5. Step 5: Solve for x
    x = 16,705,470.98/4,681
  6. Step 6: Final answer
    x = 3,568.78

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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.