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Finding the Fourth Proportional to 3,253.56, 4,880.36 and 788.38

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Solution

The fourth proportional to 3,253.56, 4,880.36 and 788.38 is: 1,182.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.56 : 4,880.36 = 788.38 : x
  2. Step 2: Convert to fraction form
    3,253.56/4,880.36 = 788.38/x
  3. Step 3: Cross multiply
    3,253.56x = 4,880.36 × 788.38
  4. Step 4: Simplify right side
    3,253.56x = 3,847,565.03
  5. Step 5: Solve for x
    x = 3,847,565.03/3,253.56
  6. Step 6: Final answer
    x = 1,182.57

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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.