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Finding the Fourth Proportional to 3,877.50, 5,816.15 and 1,244.90

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Solution

The fourth proportional to 3,877.50, 5,816.15 and 1,244.90 is: 1,867.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.50 : 5,816.15 = 1,244.90 : x
  2. Step 2: Convert to fraction form
    3,877.50/5,816.15 = 1,244.90/x
  3. Step 3: Cross multiply
    3,877.50x = 5,816.15 × 1,244.90
  4. Step 4: Simplify right side
    3,877.50x = 7,240,525.14
  5. Step 5: Solve for x
    x = 7,240,525.14/3,877.50
  6. Step 6: Final answer
    x = 1,867.32

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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.