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Finding the Fourth Proportional to 4,928.40, 7,392.48 and 2,006

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Solution

The fourth proportional to 4,928.40, 7,392.48 and 2,006 is: 3,008.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,928.40 : 7,392.48 = 2,006 : x
  2. Step 2: Convert to fraction form
    4,928.40/7,392.48 = 2,006/x
  3. Step 3: Cross multiply
    4,928.40x = 7,392.48 × 2,006
  4. Step 4: Simplify right side
    4,928.40x = 14,829,314.88
  5. Step 5: Solve for x
    x = 14,829,314.88/4,928.40
  6. Step 6: Final answer
    x = 3,008.95

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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.