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Finding the Fourth Proportional to 4,293, 6,438.74 and 1,952.45

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Solution

The fourth proportional to 4,293, 6,438.74 and 1,952.45 is: 2,928.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293 : 6,438.74 = 1,952.45 : x
  2. Step 2: Convert to fraction form
    4,293/6,438.74 = 1,952.45/x
  3. Step 3: Cross multiply
    4,293x = 6,438.74 × 1,952.45
  4. Step 4: Simplify right side
    4,293x = 12,571,347.30
  5. Step 5: Solve for x
    x = 12,571,347.30/4,293
  6. Step 6: Final answer
    x = 2,928.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.