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Finding the Fourth Proportional to 3,835.32, 5,294.07 and 2,419.98

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Solution

The fourth proportional to 3,835.32, 5,294.07 and 2,419.98 is: 3,340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.32 : 5,294.07 = 2,419.98 : x
  2. Step 2: Convert to fraction form
    3,835.32/5,294.07 = 2,419.98/x
  3. Step 3: Cross multiply
    3,835.32x = 5,294.07 × 2,419.98
  4. Step 4: Simplify right side
    3,835.32x = 12,811,543.52
  5. Step 5: Solve for x
    x = 12,811,543.52/3,835.32
  6. Step 6: Final answer
    x = 3,340.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.