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Finding the Fourth Proportional to 3,894.51, 5,372.96 and 2,498.07

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Solution

The fourth proportional to 3,894.51, 5,372.96 and 2,498.07 is: 3,446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.51 : 5,372.96 = 2,498.07 : x
  2. Step 2: Convert to fraction form
    3,894.51/5,372.96 = 2,498.07/x
  3. Step 3: Cross multiply
    3,894.51x = 5,372.96 × 2,498.07
  4. Step 4: Simplify right side
    3,894.51x = 13,422,017.70
  5. Step 5: Solve for x
    x = 13,422,017.70/3,894.51
  6. Step 6: Final answer
    x = 3,446.39

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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.