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Finding the Fourth Proportional to 5,119, 7,678.50 and 1,471

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Solution

The fourth proportional to 5,119, 7,678.50 and 1,471 is: 2,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119 : 7,678.50 = 1,471 : x
  2. Step 2: Convert to fraction form
    5,119/7,678.50 = 1,471/x
  3. Step 3: Cross multiply
    5,119x = 7,678.50 × 1,471
  4. Step 4: Simplify right side
    5,119x = 11,295,073.50
  5. Step 5: Solve for x
    x = 11,295,073.50/5,119
  6. Step 6: Final answer
    x = 2,206.50

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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.