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Finding the Fourth Proportional to 3,597.56, 4,962.54 and 2,270.78

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Solution

The fourth proportional to 3,597.56, 4,962.54 and 2,270.78 is: 3,132.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.56 : 4,962.54 = 2,270.78 : x
  2. Step 2: Convert to fraction form
    3,597.56/4,962.54 = 2,270.78/x
  3. Step 3: Cross multiply
    3,597.56x = 4,962.54 × 2,270.78
  4. Step 4: Simplify right side
    3,597.56x = 11,268,836.58
  5. Step 5: Solve for x
    x = 11,268,836.58/3,597.56
  6. Step 6: Final answer
    x = 3,132.36

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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.