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Finding the Fourth Proportional to 5,415.98, 8,124.50 and 1,952.42

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Solution

The fourth proportional to 5,415.98, 8,124.50 and 1,952.42 is: 2,928.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.98 : 8,124.50 = 1,952.42 : x
  2. Step 2: Convert to fraction form
    5,415.98/8,124.50 = 1,952.42/x
  3. Step 3: Cross multiply
    5,415.98x = 8,124.50 × 1,952.42
  4. Step 4: Simplify right side
    5,415.98x = 15,862,400.55
  5. Step 5: Solve for x
    x = 15,862,400.55/5,415.98
  6. Step 6: Final answer
    x = 2,928.82

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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.