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Finding the Fourth Proportional to 3,833.68, 5,746.65 and 1,492.22

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Solution

The fourth proportional to 3,833.68, 5,746.65 and 1,492.22 is: 2,236.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.68 : 5,746.65 = 1,492.22 : x
  2. Step 2: Convert to fraction form
    3,833.68/5,746.65 = 1,492.22/x
  3. Step 3: Cross multiply
    3,833.68x = 5,746.65 × 1,492.22
  4. Step 4: Simplify right side
    3,833.68x = 8,575,274.83
  5. Step 5: Solve for x
    x = 8,575,274.83/3,833.68
  6. Step 6: Final answer
    x = 2,236.83

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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.