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Finding the Fourth Proportional to 4,283, 6,422.04 and 1,684.52

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Solution

The fourth proportional to 4,283, 6,422.04 and 1,684.52 is: 2,525.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283 : 6,422.04 = 1,684.52 : x
  2. Step 2: Convert to fraction form
    4,283/6,422.04 = 1,684.52/x
  3. Step 3: Cross multiply
    4,283x = 6,422.04 × 1,684.52
  4. Step 4: Simplify right side
    4,283x = 10,818,054.82
  5. Step 5: Solve for x
    x = 10,818,054.82/4,283
  6. Step 6: Final answer
    x = 2,525.81

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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.