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Finding the Fourth Proportional to 3,859.13, 5,324.37 and 2,366.30

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Solution

The fourth proportional to 3,859.13, 5,324.37 and 2,366.30 is: 3,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.13 : 5,324.37 = 2,366.30 : x
  2. Step 2: Convert to fraction form
    3,859.13/5,324.37 = 2,366.30/x
  3. Step 3: Cross multiply
    3,859.13x = 5,324.37 × 2,366.30
  4. Step 4: Simplify right side
    3,859.13x = 12,599,030.11
  5. Step 5: Solve for x
    x = 12,599,030.11/3,859.13
  6. Step 6: Final answer
    x = 3,264.74

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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.