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Finding the Fourth Proportional to 5,778.54, 8,670.24 and 3,005.91

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Solution

The fourth proportional to 5,778.54, 8,670.24 and 3,005.91 is: 4,510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.54 : 8,670.24 = 3,005.91 : x
  2. Step 2: Convert to fraction form
    5,778.54/8,670.24 = 3,005.91/x
  3. Step 3: Cross multiply
    5,778.54x = 8,670.24 × 3,005.91
  4. Step 4: Simplify right side
    5,778.54x = 26,061,961.12
  5. Step 5: Solve for x
    x = 26,061,961.12/5,778.54
  6. Step 6: Final answer
    x = 4,510.13

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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.