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Finding the Fourth Proportional to 3,795.40, 5,696.70 and 3,248.20

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Solution

The fourth proportional to 3,795.40, 5,696.70 and 3,248.20 is: 4,875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.40 : 5,696.70 = 3,248.20 : x
  2. Step 2: Convert to fraction form
    3,795.40/5,696.70 = 3,248.20/x
  3. Step 3: Cross multiply
    3,795.40x = 5,696.70 × 3,248.20
  4. Step 4: Simplify right side
    3,795.40x = 18,504,020.94
  5. Step 5: Solve for x
    x = 18,504,020.94/3,795.40
  6. Step 6: Final answer
    x = 4,875.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.