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Finding the Fourth Proportional to 5,766.60, 7,960.02 and 3,852.84

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Solution

The fourth proportional to 5,766.60, 7,960.02 and 3,852.84 is: 5,318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.60 : 7,960.02 = 3,852.84 : x
  2. Step 2: Convert to fraction form
    5,766.60/7,960.02 = 3,852.84/x
  3. Step 3: Cross multiply
    5,766.60x = 7,960.02 × 3,852.84
  4. Step 4: Simplify right side
    5,766.60x = 30,668,683.46
  5. Step 5: Solve for x
    x = 30,668,683.46/5,766.60
  6. Step 6: Final answer
    x = 5,318.33

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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.