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Finding the Fourth Proportional to 3,856.51, 5,321.09 and 2,599.90

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Solution

The fourth proportional to 3,856.51, 5,321.09 and 2,599.90 is: 3,587.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.51 : 5,321.09 = 2,599.90 : x
  2. Step 2: Convert to fraction form
    3,856.51/5,321.09 = 2,599.90/x
  3. Step 3: Cross multiply
    3,856.51x = 5,321.09 × 2,599.90
  4. Step 4: Simplify right side
    3,856.51x = 13,834,295.09
  5. Step 5: Solve for x
    x = 13,834,295.09/3,856.51
  6. Step 6: Final answer
    x = 3,587.26

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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.