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Finding the Fourth Proportional to 3,597.40, 4,964.16 and 2,025.76

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Solution

The fourth proportional to 3,597.40, 4,964.16 and 2,025.76 is: 2,795.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.40 : 4,964.16 = 2,025.76 : x
  2. Step 2: Convert to fraction form
    3,597.40/4,964.16 = 2,025.76/x
  3. Step 3: Cross multiply
    3,597.40x = 4,964.16 × 2,025.76
  4. Step 4: Simplify right side
    3,597.40x = 10,056,196.76
  5. Step 5: Solve for x
    x = 10,056,196.76/3,597.40
  6. Step 6: Final answer
    x = 2,795.41

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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.