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Finding the Fourth Proportional to 4,642.64, 6,947.40 and 4,033.52

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Solution

The fourth proportional to 4,642.64, 6,947.40 and 4,033.52 is: 6,035.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.64 : 6,947.40 = 4,033.52 : x
  2. Step 2: Convert to fraction form
    4,642.64/6,947.40 = 4,033.52/x
  3. Step 3: Cross multiply
    4,642.64x = 6,947.40 × 4,033.52
  4. Step 4: Simplify right side
    4,642.64x = 28,022,476.85
  5. Step 5: Solve for x
    x = 28,022,476.85/4,642.64
  6. Step 6: Final answer
    x = 6,035.89

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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.