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Finding the Fourth Proportional to 5,905.76, 8,859.03 and 1,957

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Solution

The fourth proportional to 5,905.76, 8,859.03 and 1,957 is: 2,935.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.76 : 8,859.03 = 1,957 : x
  2. Step 2: Convert to fraction form
    5,905.76/8,859.03 = 1,957/x
  3. Step 3: Cross multiply
    5,905.76x = 8,859.03 × 1,957
  4. Step 4: Simplify right side
    5,905.76x = 17,337,121.71
  5. Step 5: Solve for x
    x = 17,337,121.71/5,905.76
  6. Step 6: Final answer
    x = 2,935.63

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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.