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Finding the Fourth Proportional to 4,286.40, 5,907.06 and 2,957.68

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Solution

The fourth proportional to 4,286.40, 5,907.06 and 2,957.68 is: 4,075.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.40 : 5,907.06 = 2,957.68 : x
  2. Step 2: Convert to fraction form
    4,286.40/5,907.06 = 2,957.68/x
  3. Step 3: Cross multiply
    4,286.40x = 5,907.06 × 2,957.68
  4. Step 4: Simplify right side
    4,286.40x = 17,471,193.22
  5. Step 5: Solve for x
    x = 17,471,193.22/4,286.40
  6. Step 6: Final answer
    x = 4,075.96

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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.