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Finding the Fourth Proportional to 3,894.75, 5,374.77 and 2,497.50

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Solution

The fourth proportional to 3,894.75, 5,374.77 and 2,497.50 is: 3,446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.75 : 5,374.77 = 2,497.50 : x
  2. Step 2: Convert to fraction form
    3,894.75/5,374.77 = 2,497.50/x
  3. Step 3: Cross multiply
    3,894.75x = 5,374.77 × 2,497.50
  4. Step 4: Simplify right side
    3,894.75x = 13,423,488.08
  5. Step 5: Solve for x
    x = 13,423,488.08/3,894.75
  6. Step 6: Final answer
    x = 3,446.56

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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.