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Finding the Fourth Proportional to 3,838.39, 5,292.12 and 2,509.99

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Solution

The fourth proportional to 3,838.39, 5,292.12 and 2,509.99 is: 3,460.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.39 : 5,292.12 = 2,509.99 : x
  2. Step 2: Convert to fraction form
    3,838.39/5,292.12 = 2,509.99/x
  3. Step 3: Cross multiply
    3,838.39x = 5,292.12 × 2,509.99
  4. Step 4: Simplify right side
    3,838.39x = 13,283,141.82
  5. Step 5: Solve for x
    x = 13,283,141.82/3,838.39
  6. Step 6: Final answer
    x = 3,460.61

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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.