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Finding the Fourth Proportional to 4,262, 6,388.68 and 1,798.16

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Solution

The fourth proportional to 4,262, 6,388.68 and 1,798.16 is: 2,695.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262 : 6,388.68 = 1,798.16 : x
  2. Step 2: Convert to fraction form
    4,262/6,388.68 = 1,798.16/x
  3. Step 3: Cross multiply
    4,262x = 6,388.68 × 1,798.16
  4. Step 4: Simplify right side
    4,262x = 11,487,868.83
  5. Step 5: Solve for x
    x = 11,487,868.83/4,262
  6. Step 6: Final answer
    x = 2,695.42

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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.