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Finding the Fourth Proportional to 4,711.83, 6,502.10 and 2,616.09

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Solution

The fourth proportional to 4,711.83, 6,502.10 and 2,616.09 is: 3,610.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.83 : 6,502.10 = 2,616.09 : x
  2. Step 2: Convert to fraction form
    4,711.83/6,502.10 = 2,616.09/x
  3. Step 3: Cross multiply
    4,711.83x = 6,502.10 × 2,616.09
  4. Step 4: Simplify right side
    4,711.83x = 17,010,078.79
  5. Step 5: Solve for x
    x = 17,010,078.79/4,711.83
  6. Step 6: Final answer
    x = 3,610.08

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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.