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Finding the Fourth Proportional to 4,893, 6,751.40 and 2,902.83

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Solution

The fourth proportional to 4,893, 6,751.40 and 2,902.83 is: 4,005.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893 : 6,751.40 = 2,902.83 : x
  2. Step 2: Convert to fraction form
    4,893/6,751.40 = 2,902.83/x
  3. Step 3: Cross multiply
    4,893x = 6,751.40 × 2,902.83
  4. Step 4: Simplify right side
    4,893x = 19,598,151.95
  5. Step 5: Solve for x
    x = 19,598,151.95/4,893
  6. Step 6: Final answer
    x = 4,005.34

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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.