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Finding the Fourth Proportional to 5,943.16, 8,202.14 and 3,459

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Solution

The fourth proportional to 5,943.16, 8,202.14 and 3,459 is: 4,773.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.16 : 8,202.14 = 3,459 : x
  2. Step 2: Convert to fraction form
    5,943.16/8,202.14 = 3,459/x
  3. Step 3: Cross multiply
    5,943.16x = 8,202.14 × 3,459
  4. Step 4: Simplify right side
    5,943.16x = 28,371,202.26
  5. Step 5: Solve for x
    x = 28,371,202.26/5,943.16
  6. Step 6: Final answer
    x = 4,773.76

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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.