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Finding the Fourth Proportional to 3,806.16, 5,256.09 and 3,599.07

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Solution

The fourth proportional to 3,806.16, 5,256.09 and 3,599.07 is: 4,970.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.16 : 5,256.09 = 3,599.07 : x
  2. Step 2: Convert to fraction form
    3,806.16/5,256.09 = 3,599.07/x
  3. Step 3: Cross multiply
    3,806.16x = 5,256.09 × 3,599.07
  4. Step 4: Simplify right side
    3,806.16x = 18,917,035.84
  5. Step 5: Solve for x
    x = 18,917,035.84/3,806.16
  6. Step 6: Final answer
    x = 4,970.11

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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.