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Finding the Fourth Proportional to 4,938.88, 7,408.64 and 4,024.96

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Solution

The fourth proportional to 4,938.88, 7,408.64 and 4,024.96 is: 6,037.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.88 : 7,408.64 = 4,024.96 : x
  2. Step 2: Convert to fraction form
    4,938.88/7,408.64 = 4,024.96/x
  3. Step 3: Cross multiply
    4,938.88x = 7,408.64 × 4,024.96
  4. Step 4: Simplify right side
    4,938.88x = 29,819,479.65
  5. Step 5: Solve for x
    x = 29,819,479.65/4,938.88
  6. Step 6: Final answer
    x = 6,037.70

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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.