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Finding the Fourth Proportional to 3,763.76, 5,646.80 and 1,685.52

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Solution

The fourth proportional to 3,763.76, 5,646.80 and 1,685.52 is: 2,528.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.76 : 5,646.80 = 1,685.52 : x
  2. Step 2: Convert to fraction form
    3,763.76/5,646.80 = 1,685.52/x
  3. Step 3: Cross multiply
    3,763.76x = 5,646.80 × 1,685.52
  4. Step 4: Simplify right side
    3,763.76x = 9,517,794.34
  5. Step 5: Solve for x
    x = 9,517,794.34/3,763.76
  6. Step 6: Final answer
    x = 2,528.80

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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.