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Finding the Fourth Proportional to 5,596.53, 7,721.91 and 4,703.67

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Solution

The fourth proportional to 5,596.53, 7,721.91 and 4,703.67 is: 6,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.53 : 7,721.91 = 4,703.67 : x
  2. Step 2: Convert to fraction form
    5,596.53/7,721.91 = 4,703.67/x
  3. Step 3: Cross multiply
    5,596.53x = 7,721.91 × 4,703.67
  4. Step 4: Simplify right side
    5,596.53x = 36,321,316.41
  5. Step 5: Solve for x
    x = 36,321,316.41/5,596.53
  6. Step 6: Final answer
    x = 6,489.97

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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.