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Finding the Fourth Proportional to 4,672.80, 6,965.52 and 4,601.52

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Solution

The fourth proportional to 4,672.80, 6,965.52 and 4,601.52 is: 6,859.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.80 : 6,965.52 = 4,601.52 : x
  2. Step 2: Convert to fraction form
    4,672.80/6,965.52 = 4,601.52/x
  3. Step 3: Cross multiply
    4,672.80x = 6,965.52 × 4,601.52
  4. Step 4: Simplify right side
    4,672.80x = 32,051,979.59
  5. Step 5: Solve for x
    x = 32,051,979.59/4,672.80
  6. Step 6: Final answer
    x = 6,859.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.