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Finding the Fourth Proportional to 4,650.25, 6,417.54 and 2,763.46

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Solution

The fourth proportional to 4,650.25, 6,417.54 and 2,763.46 is: 3,813.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.25 : 6,417.54 = 2,763.46 : x
  2. Step 2: Convert to fraction form
    4,650.25/6,417.54 = 2,763.46/x
  3. Step 3: Cross multiply
    4,650.25x = 6,417.54 × 2,763.46
  4. Step 4: Simplify right side
    4,650.25x = 17,734,615.09
  5. Step 5: Solve for x
    x = 17,734,615.09/4,650.25
  6. Step 6: Final answer
    x = 3,813.69

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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.