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Finding the Fourth Proportional to 5,859.29, 8,085.71 and 3,206.64

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Solution

The fourth proportional to 5,859.29, 8,085.71 and 3,206.64 is: 4,425.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.29 : 8,085.71 = 3,206.64 : x
  2. Step 2: Convert to fraction form
    5,859.29/8,085.71 = 3,206.64/x
  3. Step 3: Cross multiply
    5,859.29x = 8,085.71 × 3,206.64
  4. Step 4: Simplify right side
    5,859.29x = 25,927,973.31
  5. Step 5: Solve for x
    x = 25,927,973.31/5,859.29
  6. Step 6: Final answer
    x = 4,425.11

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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.