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Finding the Fourth Proportional to 5,138.19, 7,699.82 and 4,093.47

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Solution

The fourth proportional to 5,138.19, 7,699.82 and 4,093.47 is: 6,134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.19 : 7,699.82 = 4,093.47 : x
  2. Step 2: Convert to fraction form
    5,138.19/7,699.82 = 4,093.47/x
  3. Step 3: Cross multiply
    5,138.19x = 7,699.82 × 4,093.47
  4. Step 4: Simplify right side
    5,138.19x = 31,518,961.71
  5. Step 5: Solve for x
    x = 31,518,961.71/5,138.19
  6. Step 6: Final answer
    x = 6,134.25

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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.