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Finding the Fourth Proportional to 4,760.82, 6,569.64 and 2,665.08

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Solution

The fourth proportional to 4,760.82, 6,569.64 and 2,665.08 is: 3,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.82 : 6,569.64 = 2,665.08 : x
  2. Step 2: Convert to fraction form
    4,760.82/6,569.64 = 2,665.08/x
  3. Step 3: Cross multiply
    4,760.82x = 6,569.64 × 2,665.08
  4. Step 4: Simplify right side
    4,760.82x = 17,508,616.17
  5. Step 5: Solve for x
    x = 17,508,616.17/4,760.82
  6. Step 6: Final answer
    x = 3,677.65

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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.