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Finding the Fourth Proportional to 4,711.86, 6,502.59 and 2,616

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Solution

The fourth proportional to 4,711.86, 6,502.59 and 2,616 is: 3,610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.86 : 6,502.59 = 2,616 : x
  2. Step 2: Convert to fraction form
    4,711.86/6,502.59 = 2,616/x
  3. Step 3: Cross multiply
    4,711.86x = 6,502.59 × 2,616
  4. Step 4: Simplify right side
    4,711.86x = 17,010,775.44
  5. Step 5: Solve for x
    x = 17,010,775.44/4,711.86
  6. Step 6: Final answer
    x = 3,610.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.