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Finding the Fourth Proportional to 4,767.96, 6,580.17 and 2,643.70

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Solution

The fourth proportional to 4,767.96, 6,580.17 and 2,643.70 is: 3,648.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.96 : 6,580.17 = 2,643.70 : x
  2. Step 2: Convert to fraction form
    4,767.96/6,580.17 = 2,643.70/x
  3. Step 3: Cross multiply
    4,767.96x = 6,580.17 × 2,643.70
  4. Step 4: Simplify right side
    4,767.96x = 17,395,991.32
  5. Step 5: Solve for x
    x = 17,395,991.32/4,767.96
  6. Step 6: Final answer
    x = 3,648.52

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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.