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Finding the Fourth Proportional to 3,281.54, 4,903.12 and 3,166.74

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Solution

The fourth proportional to 3,281.54, 4,903.12 and 3,166.74 is: 4,731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.54 : 4,903.12 = 3,166.74 : x
  2. Step 2: Convert to fraction form
    3,281.54/4,903.12 = 3,166.74/x
  3. Step 3: Cross multiply
    3,281.54x = 4,903.12 × 3,166.74
  4. Step 4: Simplify right side
    3,281.54x = 15,526,906.23
  5. Step 5: Solve for x
    x = 15,526,906.23/3,281.54
  6. Step 6: Final answer
    x = 4,731.59

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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.