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Finding the Fourth Proportional to 5,746.68, 8,611.92 and 3,283.20

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Solution

The fourth proportional to 5,746.68, 8,611.92 and 3,283.20 is: 4,920.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.68 : 8,611.92 = 3,283.20 : x
  2. Step 2: Convert to fraction form
    5,746.68/8,611.92 = 3,283.20/x
  3. Step 3: Cross multiply
    5,746.68x = 8,611.92 × 3,283.20
  4. Step 4: Simplify right side
    5,746.68x = 28,274,655.74
  5. Step 5: Solve for x
    x = 28,274,655.74/5,746.68
  6. Step 6: Final answer
    x = 4,920.17

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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.