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Finding the Fourth Proportional to 5,295.97, 7,953.68 and 4,639.87

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Solution

The fourth proportional to 5,295.97, 7,953.68 and 4,639.87 is: 6,968.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.97 : 7,953.68 = 4,639.87 : x
  2. Step 2: Convert to fraction form
    5,295.97/7,953.68 = 4,639.87/x
  3. Step 3: Cross multiply
    5,295.97x = 7,953.68 × 4,639.87
  4. Step 4: Simplify right side
    5,295.97x = 36,904,041.22
  5. Step 5: Solve for x
    x = 36,904,041.22/5,295.97
  6. Step 6: Final answer
    x = 6,968.33

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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.