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Finding the Fourth Proportional to 3,597.84, 4,964.32 and 2,339.12

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Solution

The fourth proportional to 3,597.84, 4,964.32 and 2,339.12 is: 3,227.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.84 : 4,964.32 = 2,339.12 : x
  2. Step 2: Convert to fraction form
    3,597.84/4,964.32 = 2,339.12/x
  3. Step 3: Cross multiply
    3,597.84x = 4,964.32 × 2,339.12
  4. Step 4: Simplify right side
    3,597.84x = 11,612,140.20
  5. Step 5: Solve for x
    x = 11,612,140.20/3,597.84
  6. Step 6: Final answer
    x = 3,227.53

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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.