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Finding the Fourth Proportional to 4,788.22, 6,610.95 and 4,282.50

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Solution

The fourth proportional to 4,788.22, 6,610.95 and 4,282.50 is: 5,912.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.22 : 6,610.95 = 4,282.50 : x
  2. Step 2: Convert to fraction form
    4,788.22/6,610.95 = 4,282.50/x
  3. Step 3: Cross multiply
    4,788.22x = 6,610.95 × 4,282.50
  4. Step 4: Simplify right side
    4,788.22x = 28,311,393.38
  5. Step 5: Solve for x
    x = 28,311,393.38/4,788.22
  6. Step 6: Final answer
    x = 5,912.72

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Why These Related Problems?

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