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Finding the Fourth Proportional to 5,866.74, 8,795.34 and 4,013.28

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Solution

The fourth proportional to 5,866.74, 8,795.34 and 4,013.28 is: 6,016.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.74 : 8,795.34 = 4,013.28 : x
  2. Step 2: Convert to fraction form
    5,866.74/8,795.34 = 4,013.28/x
  3. Step 3: Cross multiply
    5,866.74x = 8,795.34 × 4,013.28
  4. Step 4: Simplify right side
    5,866.74x = 35,298,162.12
  5. Step 5: Solve for x
    x = 35,298,162.12/5,866.74
  6. Step 6: Final answer
    x = 6,016.66

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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.