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Finding the Fourth Proportional to 3,494.95, 4,822.47 and 2,237.12

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Solution

The fourth proportional to 3,494.95, 4,822.47 and 2,237.12 is: 3,086.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.95 : 4,822.47 = 2,237.12 : x
  2. Step 2: Convert to fraction form
    3,494.95/4,822.47 = 2,237.12/x
  3. Step 3: Cross multiply
    3,494.95x = 4,822.47 × 2,237.12
  4. Step 4: Simplify right side
    3,494.95x = 10,788,438.06
  5. Step 5: Solve for x
    x = 10,788,438.06/3,494.95
  6. Step 6: Final answer
    x = 3,086.87

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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.