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Finding the Fourth Proportional to 4,356.74, 6,535.02 and 1,069.85

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Solution

The fourth proportional to 4,356.74, 6,535.02 and 1,069.85 is: 1,604.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,356.74 : 6,535.02 = 1,069.85 : x
  2. Step 2: Convert to fraction form
    4,356.74/6,535.02 = 1,069.85/x
  3. Step 3: Cross multiply
    4,356.74x = 6,535.02 × 1,069.85
  4. Step 4: Simplify right side
    4,356.74x = 6,991,458.47
  5. Step 5: Solve for x
    x = 6,991,458.47/4,356.74
  6. Step 6: Final answer
    x = 1,604.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.