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Finding the Fourth Proportional to 4,277.50, 5,907.81 and 2,877.82

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Solution

The fourth proportional to 4,277.50, 5,907.81 and 2,877.82 is: 3,974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.50 : 5,907.81 = 2,877.82 : x
  2. Step 2: Convert to fraction form
    4,277.50/5,907.81 = 2,877.82/x
  3. Step 3: Cross multiply
    4,277.50x = 5,907.81 × 2,877.82
  4. Step 4: Simplify right side
    4,277.50x = 17,001,613.77
  5. Step 5: Solve for x
    x = 17,001,613.77/4,277.50
  6. Step 6: Final answer
    x = 3,974.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.