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Finding the Fourth Proportional to 4,957.38, 6,840.10 and 2,860.29

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Solution

The fourth proportional to 4,957.38, 6,840.10 and 2,860.29 is: 3,946.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.38 : 6,840.10 = 2,860.29 : x
  2. Step 2: Convert to fraction form
    4,957.38/6,840.10 = 2,860.29/x
  3. Step 3: Cross multiply
    4,957.38x = 6,840.10 × 2,860.29
  4. Step 4: Simplify right side
    4,957.38x = 19,564,669.63
  5. Step 5: Solve for x
    x = 19,564,669.63/4,957.38
  6. Step 6: Final answer
    x = 3,946.57

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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.