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Finding the Fourth Proportional to 4,126.86, 5,693.38 and 2,868.93

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Solution

The fourth proportional to 4,126.86, 5,693.38 and 2,868.93 is: 3,957.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,126.86 : 5,693.38 = 2,868.93 : x
  2. Step 2: Convert to fraction form
    4,126.86/5,693.38 = 2,868.93/x
  3. Step 3: Cross multiply
    4,126.86x = 5,693.38 × 2,868.93
  4. Step 4: Simplify right side
    4,126.86x = 16,333,901.51
  5. Step 5: Solve for x
    x = 16,333,901.51/4,126.86
  6. Step 6: Final answer
    x = 3,957.95

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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.