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Finding the Fourth Proportional to 2,572.64, 3,836.37 and 2,549.25

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Solution

The fourth proportional to 2,572.64, 3,836.37 and 2,549.25 is: 3,801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.64 : 3,836.37 = 2,549.25 : x
  2. Step 2: Convert to fraction form
    2,572.64/3,836.37 = 2,549.25/x
  3. Step 3: Cross multiply
    2,572.64x = 3,836.37 × 2,549.25
  4. Step 4: Simplify right side
    2,572.64x = 9,779,859.85
  5. Step 5: Solve for x
    x = 9,779,859.85/2,572.64
  6. Step 6: Final answer
    x = 3,801.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.