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Finding the Fourth Proportional to 4,228.92, 6,341.16 and 1,763.28

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Solution

The fourth proportional to 4,228.92, 6,341.16 and 1,763.28 is: 2,643.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228.92 : 6,341.16 = 1,763.28 : x
  2. Step 2: Convert to fraction form
    4,228.92/6,341.16 = 1,763.28/x
  3. Step 3: Cross multiply
    4,228.92x = 6,341.16 × 1,763.28
  4. Step 4: Simplify right side
    4,228.92x = 11,181,240.60
  5. Step 5: Solve for x
    x = 11,181,240.60/4,228.92
  6. Step 6: Final answer
    x = 2,643.99

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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.