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Finding the Fourth Proportional to 4,788.96, 7,183.40 and 1,502.32

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Solution

The fourth proportional to 4,788.96, 7,183.40 and 1,502.32 is: 2,253.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.96 : 7,183.40 = 1,502.32 : x
  2. Step 2: Convert to fraction form
    4,788.96/7,183.40 = 1,502.32/x
  3. Step 3: Cross multiply
    4,788.96x = 7,183.40 × 1,502.32
  4. Step 4: Simplify right side
    4,788.96x = 10,791,765.49
  5. Step 5: Solve for x
    x = 10,791,765.49/4,788.96
  6. Step 6: Final answer
    x = 2,253.47

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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.