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Finding the Fourth Proportional to 3,614.96, 5,422.50 and 1,017.96

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Solution

The fourth proportional to 3,614.96, 5,422.50 and 1,017.96 is: 1,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.96 : 5,422.50 = 1,017.96 : x
  2. Step 2: Convert to fraction form
    3,614.96/5,422.50 = 1,017.96/x
  3. Step 3: Cross multiply
    3,614.96x = 5,422.50 × 1,017.96
  4. Step 4: Simplify right side
    3,614.96x = 5,519,888.10
  5. Step 5: Solve for x
    x = 5,519,888.10/3,614.96
  6. Step 6: Final answer
    x = 1,526.96

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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.