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Finding the Fourth Proportional to 3,702.88, 5,109.84 and 2,460

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Solution

The fourth proportional to 3,702.88, 5,109.84 and 2,460 is: 3,394.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.88 : 5,109.84 = 2,460 : x
  2. Step 2: Convert to fraction form
    3,702.88/5,109.84 = 2,460/x
  3. Step 3: Cross multiply
    3,702.88x = 5,109.84 × 2,460
  4. Step 4: Simplify right side
    3,702.88x = 12,570,206.40
  5. Step 5: Solve for x
    x = 12,570,206.40/3,702.88
  6. Step 6: Final answer
    x = 3,394.71

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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.