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Finding the Fourth Proportional to 3,913.52, 5,871.08 and 1,722.06

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Solution

The fourth proportional to 3,913.52, 5,871.08 and 1,722.06 is: 2,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.52 : 5,871.08 = 1,722.06 : x
  2. Step 2: Convert to fraction form
    3,913.52/5,871.08 = 1,722.06/x
  3. Step 3: Cross multiply
    3,913.52x = 5,871.08 × 1,722.06
  4. Step 4: Simplify right side
    3,913.52x = 10,110,356.33
  5. Step 5: Solve for x
    x = 10,110,356.33/3,913.52
  6. Step 6: Final answer
    x = 2,583.45

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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.