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Finding the Fourth Proportional to 5,267.19, 7,894.49 and 2,342.19

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Solution

The fourth proportional to 5,267.19, 7,894.49 and 2,342.19 is: 3,510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.19 : 7,894.49 = 2,342.19 : x
  2. Step 2: Convert to fraction form
    5,267.19/7,894.49 = 2,342.19/x
  3. Step 3: Cross multiply
    5,267.19x = 7,894.49 × 2,342.19
  4. Step 4: Simplify right side
    5,267.19x = 18,490,383.82
  5. Step 5: Solve for x
    x = 18,490,383.82/5,267.19
  6. Step 6: Final answer
    x = 3,510.48

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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.