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Finding the Fourth Proportional to 5,782.65, 8,675.79 and 3,442.15

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Solution

The fourth proportional to 5,782.65, 8,675.79 and 3,442.15 is: 5,164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.65 : 8,675.79 = 3,442.15 : x
  2. Step 2: Convert to fraction form
    5,782.65/8,675.79 = 3,442.15/x
  3. Step 3: Cross multiply
    5,782.65x = 8,675.79 × 3,442.15
  4. Step 4: Simplify right side
    5,782.65x = 29,863,370.55
  5. Step 5: Solve for x
    x = 29,863,370.55/5,782.65
  6. Step 6: Final answer
    x = 5,164.31

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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.