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Finding the Fourth Proportional to 3,258.52, 4,883.66 and 1,407.48

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Solution

The fourth proportional to 3,258.52, 4,883.66 and 1,407.48 is: 2,109.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.52 : 4,883.66 = 1,407.48 : x
  2. Step 2: Convert to fraction form
    3,258.52/4,883.66 = 1,407.48/x
  3. Step 3: Cross multiply
    3,258.52x = 4,883.66 × 1,407.48
  4. Step 4: Simplify right side
    3,258.52x = 6,873,653.78
  5. Step 5: Solve for x
    x = 6,873,653.78/3,258.52
  6. Step 6: Final answer
    x = 2,109.44

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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.