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Finding the Fourth Proportional to 4,492.68, 6,742.10 and 1,571

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Solution

The fourth proportional to 4,492.68, 6,742.10 and 1,571 is: 2,357.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.68 : 6,742.10 = 1,571 : x
  2. Step 2: Convert to fraction form
    4,492.68/6,742.10 = 1,571/x
  3. Step 3: Cross multiply
    4,492.68x = 6,742.10 × 1,571
  4. Step 4: Simplify right side
    4,492.68x = 10,591,839.10
  5. Step 5: Solve for x
    x = 10,591,839.10/4,492.68
  6. Step 6: Final answer
    x = 2,357.58

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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.