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Finding the Fourth Proportional to 4,882.16, 7,324.36 and 1,595.50

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Solution

The fourth proportional to 4,882.16, 7,324.36 and 1,595.50 is: 2,393.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.16 : 7,324.36 = 1,595.50 : x
  2. Step 2: Convert to fraction form
    4,882.16/7,324.36 = 1,595.50/x
  3. Step 3: Cross multiply
    4,882.16x = 7,324.36 × 1,595.50
  4. Step 4: Simplify right side
    4,882.16x = 11,686,016.38
  5. Step 5: Solve for x
    x = 11,686,016.38/4,882.16
  6. Step 6: Final answer
    x = 2,393.62

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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.