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Finding the Fourth Proportional to 4,928.98, 7,391.42 and 2,005.30

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Solution

The fourth proportional to 4,928.98, 7,391.42 and 2,005.30 is: 3,007.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,928.98 : 7,391.42 = 2,005.30 : x
  2. Step 2: Convert to fraction form
    4,928.98/7,391.42 = 2,005.30/x
  3. Step 3: Cross multiply
    4,928.98x = 7,391.42 × 2,005.30
  4. Step 4: Simplify right side
    4,928.98x = 14,822,014.53
  5. Step 5: Solve for x
    x = 14,822,014.53/4,928.98
  6. Step 6: Final answer
    x = 3,007.12

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Why These Related Problems?

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