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Finding the Fourth Proportional to 5,764.95, 8,646.38 and 2,017.28

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Solution

The fourth proportional to 5,764.95, 8,646.38 and 2,017.28 is: 3,025.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.95 : 8,646.38 = 2,017.28 : x
  2. Step 2: Convert to fraction form
    5,764.95/8,646.38 = 2,017.28/x
  3. Step 3: Cross multiply
    5,764.95x = 8,646.38 × 2,017.28
  4. Step 4: Simplify right side
    5,764.95x = 17,442,188.54
  5. Step 5: Solve for x
    x = 17,442,188.54/5,764.95
  6. Step 6: Final answer
    x = 3,025.56

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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.