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Finding the Fourth Proportional to 3,868.98, 5,349.70 and 3,806.46

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Solution

The fourth proportional to 3,868.98, 5,349.70 and 3,806.46 is: 5,263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.98 : 5,349.70 = 3,806.46 : x
  2. Step 2: Convert to fraction form
    3,868.98/5,349.70 = 3,806.46/x
  3. Step 3: Cross multiply
    3,868.98x = 5,349.70 × 3,806.46
  4. Step 4: Simplify right side
    3,868.98x = 20,363,419.06
  5. Step 5: Solve for x
    x = 20,363,419.06/3,868.98
  6. Step 6: Final answer
    x = 5,263.25

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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.