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Finding the Fourth Proportional to 4,203.82, 6,306.65 and 1,282.35

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Solution

The fourth proportional to 4,203.82, 6,306.65 and 1,282.35 is: 1,923.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.82 : 6,306.65 = 1,282.35 : x
  2. Step 2: Convert to fraction form
    4,203.82/6,306.65 = 1,282.35/x
  3. Step 3: Cross multiply
    4,203.82x = 6,306.65 × 1,282.35
  4. Step 4: Simplify right side
    4,203.82x = 8,087,332.63
  5. Step 5: Solve for x
    x = 8,087,332.63/4,203.82
  6. Step 6: Final answer
    x = 1,923.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.