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Finding the Fourth Proportional to 3,907.92, 5,392.76 and 2,139.50

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Solution

The fourth proportional to 3,907.92, 5,392.76 and 2,139.50 is: 2,952.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.92 : 5,392.76 = 2,139.50 : x
  2. Step 2: Convert to fraction form
    3,907.92/5,392.76 = 2,139.50/x
  3. Step 3: Cross multiply
    3,907.92x = 5,392.76 × 2,139.50
  4. Step 4: Simplify right side
    3,907.92x = 11,537,810.02
  5. Step 5: Solve for x
    x = 11,537,810.02/3,907.92
  6. Step 6: Final answer
    x = 2,952.42

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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.