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Finding the Fourth Proportional to 5,352.05, 8,019.29 and 5,146.98

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Solution

The fourth proportional to 5,352.05, 8,019.29 and 5,146.98 is: 7,712.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.05 : 8,019.29 = 5,146.98 : x
  2. Step 2: Convert to fraction form
    5,352.05/8,019.29 = 5,146.98/x
  3. Step 3: Cross multiply
    5,352.05x = 8,019.29 × 5,146.98
  4. Step 4: Simplify right side
    5,352.05x = 41,275,099.51
  5. Step 5: Solve for x
    x = 41,275,099.51/5,352.05
  6. Step 6: Final answer
    x = 7,712.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.