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Finding the Fourth Proportional to 3,258.43, 4,496.65 and 2,511

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Solution

The fourth proportional to 3,258.43, 4,496.65 and 2,511 is: 3,465.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.43 : 4,496.65 = 2,511 : x
  2. Step 2: Convert to fraction form
    3,258.43/4,496.65 = 2,511/x
  3. Step 3: Cross multiply
    3,258.43x = 4,496.65 × 2,511
  4. Step 4: Simplify right side
    3,258.43x = 11,291,081.87
  5. Step 5: Solve for x
    x = 11,291,081.87/3,258.43
  6. Step 6: Final answer
    x = 3,465.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.