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Finding the Fourth Proportional to 4,872.66, 7,308.98 and 1,409.91

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Solution

The fourth proportional to 4,872.66, 7,308.98 and 1,409.91 is: 2,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.66 : 7,308.98 = 1,409.91 : x
  2. Step 2: Convert to fraction form
    4,872.66/7,308.98 = 1,409.91/x
  3. Step 3: Cross multiply
    4,872.66x = 7,308.98 × 1,409.91
  4. Step 4: Simplify right side
    4,872.66x = 10,304,982.75
  5. Step 5: Solve for x
    x = 10,304,982.75/4,872.66
  6. Step 6: Final answer
    x = 2,114.86

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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.