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Finding the Fourth Proportional to 4,711, 6,502.34 and 2,721.26

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Solution

The fourth proportional to 4,711, 6,502.34 and 2,721.26 is: 3,756.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711 : 6,502.34 = 2,721.26 : x
  2. Step 2: Convert to fraction form
    4,711/6,502.34 = 2,721.26/x
  3. Step 3: Cross multiply
    4,711x = 6,502.34 × 2,721.26
  4. Step 4: Simplify right side
    4,711x = 17,694,557.75
  5. Step 5: Solve for x
    x = 17,694,557.75/4,711
  6. Step 6: Final answer
    x = 3,756.01

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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.