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Finding the Fourth Proportional to 5,187.46, 7,158.68 and 2,829.74

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Solution

The fourth proportional to 5,187.46, 7,158.68 and 2,829.74 is: 3,905.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.46 : 7,158.68 = 2,829.74 : x
  2. Step 2: Convert to fraction form
    5,187.46/7,158.68 = 2,829.74/x
  3. Step 3: Cross multiply
    5,187.46x = 7,158.68 × 2,829.74
  4. Step 4: Simplify right side
    5,187.46x = 20,257,203.14
  5. Step 5: Solve for x
    x = 20,257,203.14/5,187.46
  6. Step 6: Final answer
    x = 3,905.03

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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.