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Finding the Fourth Proportional to 3,492.84, 5,240.07 and 1,027.68

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Solution

The fourth proportional to 3,492.84, 5,240.07 and 1,027.68 is: 1,541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.84 : 5,240.07 = 1,027.68 : x
  2. Step 2: Convert to fraction form
    3,492.84/5,240.07 = 1,027.68/x
  3. Step 3: Cross multiply
    3,492.84x = 5,240.07 × 1,027.68
  4. Step 4: Simplify right side
    3,492.84x = 5,385,115.14
  5. Step 5: Solve for x
    x = 5,385,115.14/3,492.84
  6. Step 6: Final answer
    x = 1,541.76

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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.