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Finding the Fourth Proportional to 4,711.96, 6,502.01 and 2,823.48

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Solution

The fourth proportional to 4,711.96, 6,502.01 and 2,823.48 is: 3,896.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.96 : 6,502.01 = 2,823.48 : x
  2. Step 2: Convert to fraction form
    4,711.96/6,502.01 = 2,823.48/x
  3. Step 3: Cross multiply
    4,711.96x = 6,502.01 × 2,823.48
  4. Step 4: Simplify right side
    4,711.96x = 18,358,295.19
  5. Step 5: Solve for x
    x = 18,358,295.19/4,711.96
  6. Step 6: Final answer
    x = 3,896.11

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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.