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Finding the Fourth Proportional to 4,765.04, 6,575.78 and 2,640.63

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Solution

The fourth proportional to 4,765.04, 6,575.78 and 2,640.63 is: 3,644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.04 : 6,575.78 = 2,640.63 : x
  2. Step 2: Convert to fraction form
    4,765.04/6,575.78 = 2,640.63/x
  3. Step 3: Cross multiply
    4,765.04x = 6,575.78 × 2,640.63
  4. Step 4: Simplify right side
    4,765.04x = 17,364,201.94
  5. Step 5: Solve for x
    x = 17,364,201.94/4,765.04
  6. Step 6: Final answer
    x = 3,644.08

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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.