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Finding the Fourth Proportional to 3,836.53, 5,294.42 and 2,264.63

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Solution

The fourth proportional to 3,836.53, 5,294.42 and 2,264.63 is: 3,125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.53 : 5,294.42 = 2,264.63 : x
  2. Step 2: Convert to fraction form
    3,836.53/5,294.42 = 2,264.63/x
  3. Step 3: Cross multiply
    3,836.53x = 5,294.42 × 2,264.63
  4. Step 4: Simplify right side
    3,836.53x = 11,989,873.06
  5. Step 5: Solve for x
    x = 11,989,873.06/3,836.53
  6. Step 6: Final answer
    x = 3,125.19

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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.