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Finding the Fourth Proportional to 3,813.16, 5,718.24 and 1,347.76

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Solution

The fourth proportional to 3,813.16, 5,718.24 and 1,347.76 is: 2,021.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.16 : 5,718.24 = 1,347.76 : x
  2. Step 2: Convert to fraction form
    3,813.16/5,718.24 = 1,347.76/x
  3. Step 3: Cross multiply
    3,813.16x = 5,718.24 × 1,347.76
  4. Step 4: Simplify right side
    3,813.16x = 7,706,815.14
  5. Step 5: Solve for x
    x = 7,706,815.14/3,813.16
  6. Step 6: Final answer
    x = 2,021.11

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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.