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Finding the Fourth Proportional to 3,258.83, 4,889.84 and 1,410.48

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Solution

The fourth proportional to 3,258.83, 4,889.84 and 1,410.48 is: 2,116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.83 : 4,889.84 = 1,410.48 : x
  2. Step 2: Convert to fraction form
    3,258.83/4,889.84 = 1,410.48/x
  3. Step 3: Cross multiply
    3,258.83x = 4,889.84 × 1,410.48
  4. Step 4: Simplify right side
    3,258.83x = 6,897,014.47
  5. Step 5: Solve for x
    x = 6,897,014.47/3,258.83
  6. Step 6: Final answer
    x = 2,116.41

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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.