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Finding the Fourth Proportional to 4,928.63, 7,389.02 and 2,462.11

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Solution

The fourth proportional to 4,928.63, 7,389.02 and 2,462.11 is: 3,691.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,928.63 : 7,389.02 = 2,462.11 : x
  2. Step 2: Convert to fraction form
    4,928.63/7,389.02 = 2,462.11/x
  3. Step 3: Cross multiply
    4,928.63x = 7,389.02 × 2,462.11
  4. Step 4: Simplify right side
    4,928.63x = 18,192,567.71
  5. Step 5: Solve for x
    x = 18,192,567.71/4,928.63
  6. Step 6: Final answer
    x = 3,691.21

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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.