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Finding the Fourth Proportional to 6,424.29, 8,868.25 and 3,907.21

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Solution

The fourth proportional to 6,424.29, 8,868.25 and 3,907.21 is: 5,393.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.29 : 8,868.25 = 3,907.21 : x
  2. Step 2: Convert to fraction form
    6,424.29/8,868.25 = 3,907.21/x
  3. Step 3: Cross multiply
    6,424.29x = 8,868.25 × 3,907.21
  4. Step 4: Simplify right side
    6,424.29x = 34,650,065.86
  5. Step 5: Solve for x
    x = 34,650,065.86/6,424.29
  6. Step 6: Final answer
    x = 5,393.60

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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.