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Finding the Fourth Proportional to 4,764.77, 6,575.54 and 2,640.26

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Solution

The fourth proportional to 4,764.77, 6,575.54 and 2,640.26 is: 3,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.77 : 6,575.54 = 2,640.26 : x
  2. Step 2: Convert to fraction form
    4,764.77/6,575.54 = 2,640.26/x
  3. Step 3: Cross multiply
    4,764.77x = 6,575.54 × 2,640.26
  4. Step 4: Simplify right side
    4,764.77x = 17,361,135.24
  5. Step 5: Solve for x
    x = 17,361,135.24/4,764.77
  6. Step 6: Final answer
    x = 3,643.65

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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.