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Finding the Fourth Proportional to 3,907.85, 5,392.64 and 2,139.46

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Solution

The fourth proportional to 3,907.85, 5,392.64 and 2,139.46 is: 2,952.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.85 : 5,392.64 = 2,139.46 : x
  2. Step 2: Convert to fraction form
    3,907.85/5,392.64 = 2,139.46/x
  3. Step 3: Cross multiply
    3,907.85x = 5,392.64 × 2,139.46
  4. Step 4: Simplify right side
    3,907.85x = 11,537,329.44
  5. Step 5: Solve for x
    x = 11,537,329.44/3,907.85
  6. Step 6: Final answer
    x = 2,952.35

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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.