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Finding the Fourth Proportional to 4,312.93, 6,473.91 and 3,822.47

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Solution

The fourth proportional to 4,312.93, 6,473.91 and 3,822.47 is: 5,737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.93 : 6,473.91 = 3,822.47 : x
  2. Step 2: Convert to fraction form
    4,312.93/6,473.91 = 3,822.47/x
  3. Step 3: Cross multiply
    4,312.93x = 6,473.91 × 3,822.47
  4. Step 4: Simplify right side
    4,312.93x = 24,746,342.94
  5. Step 5: Solve for x
    x = 24,746,342.94/4,312.93
  6. Step 6: Final answer
    x = 5,737.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.