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Finding the Fourth Proportional to 3,774.24, 5,207.04 and 2,448.24

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Solution

The fourth proportional to 3,774.24, 5,207.04 and 2,448.24 is: 3,377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.24 : 5,207.04 = 2,448.24 : x
  2. Step 2: Convert to fraction form
    3,774.24/5,207.04 = 2,448.24/x
  3. Step 3: Cross multiply
    3,774.24x = 5,207.04 × 2,448.24
  4. Step 4: Simplify right side
    3,774.24x = 12,748,083.61
  5. Step 5: Solve for x
    x = 12,748,083.61/3,774.24
  6. Step 6: Final answer
    x = 3,377.66

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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.