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Finding the Fourth Proportional to 3,885.54, 5,827.19 and 1,909.95

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Solution

The fourth proportional to 3,885.54, 5,827.19 and 1,909.95 is: 2,864.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.54 : 5,827.19 = 1,909.95 : x
  2. Step 2: Convert to fraction form
    3,885.54/5,827.19 = 1,909.95/x
  3. Step 3: Cross multiply
    3,885.54x = 5,827.19 × 1,909.95
  4. Step 4: Simplify right side
    3,885.54x = 11,129,641.54
  5. Step 5: Solve for x
    x = 11,129,641.54/3,885.54
  6. Step 6: Final answer
    x = 2,864.37

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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.