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Finding the Fourth Proportional to 3,804.59, 5,702.78 and 2,487.84

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Solution

The fourth proportional to 3,804.59, 5,702.78 and 2,487.84 is: 3,729.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.59 : 5,702.78 = 2,487.84 : x
  2. Step 2: Convert to fraction form
    3,804.59/5,702.78 = 2,487.84/x
  3. Step 3: Cross multiply
    3,804.59x = 5,702.78 × 2,487.84
  4. Step 4: Simplify right side
    3,804.59x = 14,187,610.41
  5. Step 5: Solve for x
    x = 14,187,610.41/3,804.59
  6. Step 6: Final answer
    x = 3,729.08

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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.