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Finding the Fourth Proportional to 3,515.52, 5,274.08 and 1,871.20

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Solution

The fourth proportional to 3,515.52, 5,274.08 and 1,871.20 is: 2,807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,515.52 : 5,274.08 = 1,871.20 : x
  2. Step 2: Convert to fraction form
    3,515.52/5,274.08 = 1,871.20/x
  3. Step 3: Cross multiply
    3,515.52x = 5,274.08 × 1,871.20
  4. Step 4: Simplify right side
    3,515.52x = 9,868,858.50
  5. Step 5: Solve for x
    x = 9,868,858.50/3,515.52
  6. Step 6: Final answer
    x = 2,807.23

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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.