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Finding the Fourth Proportional to 4,759.16, 7,134.44 and 2,258.80

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Solution

The fourth proportional to 4,759.16, 7,134.44 and 2,258.80 is: 3,386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,759.16 : 7,134.44 = 2,258.80 : x
  2. Step 2: Convert to fraction form
    4,759.16/7,134.44 = 2,258.80/x
  3. Step 3: Cross multiply
    4,759.16x = 7,134.44 × 2,258.80
  4. Step 4: Simplify right side
    4,759.16x = 16,115,269.86
  5. Step 5: Solve for x
    x = 16,115,269.86/4,759.16
  6. Step 6: Final answer
    x = 3,386.16

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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.