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Finding the Fourth Proportional to 4,838.97, 7,258.45 and 1,376.22

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Solution

The fourth proportional to 4,838.97, 7,258.45 and 1,376.22 is: 2,064.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.97 : 7,258.45 = 1,376.22 : x
  2. Step 2: Convert to fraction form
    4,838.97/7,258.45 = 1,376.22/x
  3. Step 3: Cross multiply
    4,838.97x = 7,258.45 × 1,376.22
  4. Step 4: Simplify right side
    4,838.97x = 9,989,224.06
  5. Step 5: Solve for x
    x = 9,989,224.06/4,838.97
  6. Step 6: Final answer
    x = 2,064.33

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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.