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Finding the Fourth Proportional to 3,282.72, 4,925.16 and 1,552.56

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Solution

The fourth proportional to 3,282.72, 4,925.16 and 1,552.56 is: 2,329.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.72 : 4,925.16 = 1,552.56 : x
  2. Step 2: Convert to fraction form
    3,282.72/4,925.16 = 1,552.56/x
  3. Step 3: Cross multiply
    3,282.72x = 4,925.16 × 1,552.56
  4. Step 4: Simplify right side
    3,282.72x = 7,646,606.41
  5. Step 5: Solve for x
    x = 7,646,606.41/3,282.72
  6. Step 6: Final answer
    x = 2,329.35

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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.