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Finding the Fourth Proportional to 4,448.47, 6,138.79 and 2,459

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Solution

The fourth proportional to 4,448.47, 6,138.79 and 2,459 is: 3,393.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,448.47 : 6,138.79 = 2,459 : x
  2. Step 2: Convert to fraction form
    4,448.47/6,138.79 = 2,459/x
  3. Step 3: Cross multiply
    4,448.47x = 6,138.79 × 2,459
  4. Step 4: Simplify right side
    4,448.47x = 15,095,284.61
  5. Step 5: Solve for x
    x = 15,095,284.61/4,448.47
  6. Step 6: Final answer
    x = 3,393.37

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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.