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Finding the Fourth Proportional to 5,017.68, 6,924.36 and 3,027.84

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Solution

The fourth proportional to 5,017.68, 6,924.36 and 3,027.84 is: 4,178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,017.68 : 6,924.36 = 3,027.84 : x
  2. Step 2: Convert to fraction form
    5,017.68/6,924.36 = 3,027.84/x
  3. Step 3: Cross multiply
    5,017.68x = 6,924.36 × 3,027.84
  4. Step 4: Simplify right side
    5,017.68x = 20,965,854.18
  5. Step 5: Solve for x
    x = 20,965,854.18/5,017.68
  6. Step 6: Final answer
    x = 4,178.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.