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Finding the Fourth Proportional to 5,704.95, 8,535.56 and 4,250.60

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Solution

The fourth proportional to 5,704.95, 8,535.56 and 4,250.60 is: 6,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.95 : 8,535.56 = 4,250.60 : x
  2. Step 2: Convert to fraction form
    5,704.95/8,535.56 = 4,250.60/x
  3. Step 3: Cross multiply
    5,704.95x = 8,535.56 × 4,250.60
  4. Step 4: Simplify right side
    5,704.95x = 36,281,187.41
  5. Step 5: Solve for x
    x = 36,281,187.41/5,704.95
  6. Step 6: Final answer
    x = 6,359.60

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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.