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Finding the Fourth Proportional to 4,827.82, 7,237.63 and 1,908.18

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Solution

The fourth proportional to 4,827.82, 7,237.63 and 1,908.18 is: 2,860.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.82 : 7,237.63 = 1,908.18 : x
  2. Step 2: Convert to fraction form
    4,827.82/7,237.63 = 1,908.18/x
  3. Step 3: Cross multiply
    4,827.82x = 7,237.63 × 1,908.18
  4. Step 4: Simplify right side
    4,827.82x = 13,810,700.81
  5. Step 5: Solve for x
    x = 13,810,700.81/4,827.82
  6. Step 6: Final answer
    x = 2,860.65

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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.