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Finding the Fourth Proportional to 5,913.71, 8,871.84 and 1,754.01

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Solution

The fourth proportional to 5,913.71, 8,871.84 and 1,754.01 is: 2,631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.71 : 8,871.84 = 1,754.01 : x
  2. Step 2: Convert to fraction form
    5,913.71/8,871.84 = 1,754.01/x
  3. Step 3: Cross multiply
    5,913.71x = 8,871.84 × 1,754.01
  4. Step 4: Simplify right side
    5,913.71x = 15,561,253.72
  5. Step 5: Solve for x
    x = 15,561,253.72/5,913.71
  6. Step 6: Final answer
    x = 2,631.39

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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.