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Finding the Fourth Proportional to 4,917.20, 6,785.72 and 2,822.00

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Solution

The fourth proportional to 4,917.20, 6,785.72 and 2,822.00 is: 3,894.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,917.20 : 6,785.72 = 2,822.00 : x
  2. Step 2: Convert to fraction form
    4,917.20/6,785.72 = 2,822.00/x
  3. Step 3: Cross multiply
    4,917.20x = 6,785.72 × 2,822.00
  4. Step 4: Simplify right side
    4,917.20x = 19,149,253.80
  5. Step 5: Solve for x
    x = 19,149,253.80/4,917.20
  6. Step 6: Final answer
    x = 3,894.35

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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.