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Finding the Fourth Proportional to 3,449.41, 5,176.19 and 1,258.33

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Solution

The fourth proportional to 3,449.41, 5,176.19 and 1,258.33 is: 1,888.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.41 : 5,176.19 = 1,258.33 : x
  2. Step 2: Convert to fraction form
    3,449.41/5,176.19 = 1,258.33/x
  3. Step 3: Cross multiply
    3,449.41x = 5,176.19 × 1,258.33
  4. Step 4: Simplify right side
    3,449.41x = 6,513,322.99
  5. Step 5: Solve for x
    x = 6,513,322.99/3,449.41
  6. Step 6: Final answer
    x = 1,888.25

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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.