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Finding the Fourth Proportional to 5,606.34, 7,722.96 and 4,721.82

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Solution

The fourth proportional to 5,606.34, 7,722.96 and 4,721.82 is: 6,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.34 : 7,722.96 = 4,721.82 : x
  2. Step 2: Convert to fraction form
    5,606.34/7,722.96 = 4,721.82/x
  3. Step 3: Cross multiply
    5,606.34x = 7,722.96 × 4,721.82
  4. Step 4: Simplify right side
    5,606.34x = 36,466,426.99
  5. Step 5: Solve for x
    x = 36,466,426.99/5,606.34
  6. Step 6: Final answer
    x = 6,504.50

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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.