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Finding the Fourth Proportional to 3,657.42, 5,487.62 and 2,013.80

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Solution

The fourth proportional to 3,657.42, 5,487.62 and 2,013.80 is: 3,021.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.42 : 5,487.62 = 2,013.80 : x
  2. Step 2: Convert to fraction form
    3,657.42/5,487.62 = 2,013.80/x
  3. Step 3: Cross multiply
    3,657.42x = 5,487.62 × 2,013.80
  4. Step 4: Simplify right side
    3,657.42x = 11,050,931.65
  5. Step 5: Solve for x
    x = 11,050,931.65/3,657.42
  6. Step 6: Final answer
    x = 3,021.51

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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.