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Finding the Fourth Proportional to 3,901.65, 5,852.48 and 1,436.55

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Solution

The fourth proportional to 3,901.65, 5,852.48 and 1,436.55 is: 2,154.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.65 : 5,852.48 = 1,436.55 : x
  2. Step 2: Convert to fraction form
    3,901.65/5,852.48 = 1,436.55/x
  3. Step 3: Cross multiply
    3,901.65x = 5,852.48 × 1,436.55
  4. Step 4: Simplify right side
    3,901.65x = 8,407,372.96
  5. Step 5: Solve for x
    x = 8,407,372.96/3,901.65
  6. Step 6: Final answer
    x = 2,154.83

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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.