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Finding the Fourth Proportional to 5,187.66, 7,158.93 and 2,829.78

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Solution

The fourth proportional to 5,187.66, 7,158.93 and 2,829.78 is: 3,905.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.66 : 7,158.93 = 2,829.78 : x
  2. Step 2: Convert to fraction form
    5,187.66/7,158.93 = 2,829.78/x
  3. Step 3: Cross multiply
    5,187.66x = 7,158.93 × 2,829.78
  4. Step 4: Simplify right side
    5,187.66x = 20,258,196.94
  5. Step 5: Solve for x
    x = 20,258,196.94/5,187.66
  6. Step 6: Final answer
    x = 3,905.07

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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.