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Finding the Fourth Proportional to 4,901.29, 6,763.74 and 4,192.22

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Solution

The fourth proportional to 4,901.29, 6,763.74 and 4,192.22 is: 5,785.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.29 : 6,763.74 = 4,192.22 : x
  2. Step 2: Convert to fraction form
    4,901.29/6,763.74 = 4,192.22/x
  3. Step 3: Cross multiply
    4,901.29x = 6,763.74 × 4,192.22
  4. Step 4: Simplify right side
    4,901.29x = 28,355,086.10
  5. Step 5: Solve for x
    x = 28,355,086.10/4,901.29
  6. Step 6: Final answer
    x = 5,785.23

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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.