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Finding the Fourth Proportional to 4,492.74, 6,734.39 and 3,101.57

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Solution

The fourth proportional to 4,492.74, 6,734.39 and 3,101.57 is: 4,649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.74 : 6,734.39 = 3,101.57 : x
  2. Step 2: Convert to fraction form
    4,492.74/6,734.39 = 3,101.57/x
  3. Step 3: Cross multiply
    4,492.74x = 6,734.39 × 3,101.57
  4. Step 4: Simplify right side
    4,492.74x = 20,887,132.81
  5. Step 5: Solve for x
    x = 20,887,132.81/4,492.74
  6. Step 6: Final answer
    x = 4,649.09

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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.