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Finding the Fourth Proportional to 3,886.96, 5,363.12 and 3,260.02

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Solution

The fourth proportional to 3,886.96, 5,363.12 and 3,260.02 is: 4,498.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.96 : 5,363.12 = 3,260.02 : x
  2. Step 2: Convert to fraction form
    3,886.96/5,363.12 = 3,260.02/x
  3. Step 3: Cross multiply
    3,886.96x = 5,363.12 × 3,260.02
  4. Step 4: Simplify right side
    3,886.96x = 17,483,878.46
  5. Step 5: Solve for x
    x = 17,483,878.46/3,886.96
  6. Step 6: Final answer
    x = 4,498.09

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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.