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Finding the Fourth Proportional to 4,751.66, 7,129.04 and 2,286.68

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Solution

The fourth proportional to 4,751.66, 7,129.04 and 2,286.68 is: 3,430.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.66 : 7,129.04 = 2,286.68 : x
  2. Step 2: Convert to fraction form
    4,751.66/7,129.04 = 2,286.68/x
  3. Step 3: Cross multiply
    4,751.66x = 7,129.04 × 2,286.68
  4. Step 4: Simplify right side
    4,751.66x = 16,301,833.19
  5. Step 5: Solve for x
    x = 16,301,833.19/4,751.66
  6. Step 6: Final answer
    x = 3,430.77

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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.