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Finding the Fourth Proportional to 3,702.88, 5,107.74 and 2,443.94

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Solution

The fourth proportional to 3,702.88, 5,107.74 and 2,443.94 is: 3,371.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.88 : 5,107.74 = 2,443.94 : x
  2. Step 2: Convert to fraction form
    3,702.88/5,107.74 = 2,443.94/x
  3. Step 3: Cross multiply
    3,702.88x = 5,107.74 × 2,443.94
  4. Step 4: Simplify right side
    3,702.88x = 12,483,010.10
  5. Step 5: Solve for x
    x = 12,483,010.10/3,702.88
  6. Step 6: Final answer
    x = 3,371.16

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1.5x scale

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.