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Finding the Fourth Proportional to 5,806.84, 8,013.40 and 3,154.08

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Solution

The fourth proportional to 5,806.84, 8,013.40 and 3,154.08 is: 4,352.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.84 : 8,013.40 = 3,154.08 : x
  2. Step 2: Convert to fraction form
    5,806.84/8,013.40 = 3,154.08/x
  3. Step 3: Cross multiply
    5,806.84x = 8,013.40 × 3,154.08
  4. Step 4: Simplify right side
    5,806.84x = 25,274,904.67
  5. Step 5: Solve for x
    x = 25,274,904.67/5,806.84
  6. Step 6: Final answer
    x = 4,352.61

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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.