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Finding the Fourth Proportional to 4,678.50, 7,018.16 and 1,215.75

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Solution

The fourth proportional to 4,678.50, 7,018.16 and 1,215.75 is: 1,823.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.50 : 7,018.16 = 1,215.75 : x
  2. Step 2: Convert to fraction form
    4,678.50/7,018.16 = 1,215.75/x
  3. Step 3: Cross multiply
    4,678.50x = 7,018.16 × 1,215.75
  4. Step 4: Simplify right side
    4,678.50x = 8,532,321.94
  5. Step 5: Solve for x
    x = 8,532,321.94/4,678.50
  6. Step 6: Final answer
    x = 1,823.73

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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.