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Finding the Fourth Proportional to 5,191.10, 7,785.48 and 1,492.50

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Solution

The fourth proportional to 5,191.10, 7,785.48 and 1,492.50 is: 2,238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.10 : 7,785.48 = 1,492.50 : x
  2. Step 2: Convert to fraction form
    5,191.10/7,785.48 = 1,492.50/x
  3. Step 3: Cross multiply
    5,191.10x = 7,785.48 × 1,492.50
  4. Step 4: Simplify right side
    5,191.10x = 11,619,863.69
  5. Step 5: Solve for x
    x = 11,619,863.69/5,191.10
  6. Step 6: Final answer
    x = 2,238.42

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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.