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Finding the Fourth Proportional to 4,233, 6,345.88 and 1,637.76

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Solution

The fourth proportional to 4,233, 6,345.88 and 1,637.76 is: 2,455.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233 : 6,345.88 = 1,637.76 : x
  2. Step 2: Convert to fraction form
    4,233/6,345.88 = 1,637.76/x
  3. Step 3: Cross multiply
    4,233x = 6,345.88 × 1,637.76
  4. Step 4: Simplify right side
    4,233x = 10,393,028.43
  5. Step 5: Solve for x
    x = 10,393,028.43/4,233
  6. Step 6: Final answer
    x = 2,455.24

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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.