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Finding the Fourth Proportional to 5,186.95, 7,158.02 and 2,829.11

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Solution

The fourth proportional to 5,186.95, 7,158.02 and 2,829.11 is: 3,904.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.95 : 7,158.02 = 2,829.11 : x
  2. Step 2: Convert to fraction form
    5,186.95/7,158.02 = 2,829.11/x
  3. Step 3: Cross multiply
    5,186.95x = 7,158.02 × 2,829.11
  4. Step 4: Simplify right side
    5,186.95x = 20,250,776.03
  5. Step 5: Solve for x
    x = 20,250,776.03/5,186.95
  6. Step 6: Final answer
    x = 3,904.18

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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.