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Finding the Fourth Proportional to 5,713.84, 8,562.48 and 2,788.84

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Solution

The fourth proportional to 5,713.84, 8,562.48 and 2,788.84 is: 4,179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.84 : 8,562.48 = 2,788.84 : x
  2. Step 2: Convert to fraction form
    5,713.84/8,562.48 = 2,788.84/x
  3. Step 3: Cross multiply
    5,713.84x = 8,562.48 × 2,788.84
  4. Step 4: Simplify right side
    5,713.84x = 23,879,386.72
  5. Step 5: Solve for x
    x = 23,879,386.72/5,713.84
  6. Step 6: Final answer
    x = 4,179.22

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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.