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Finding the Fourth Proportional to 4,938.97, 7,408.85 and 1,652.08

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Solution

The fourth proportional to 4,938.97, 7,408.85 and 1,652.08 is: 2,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.97 : 7,408.85 = 1,652.08 : x
  2. Step 2: Convert to fraction form
    4,938.97/7,408.85 = 1,652.08/x
  3. Step 3: Cross multiply
    4,938.97x = 7,408.85 × 1,652.08
  4. Step 4: Simplify right side
    4,938.97x = 12,239,986.13
  5. Step 5: Solve for x
    x = 12,239,986.13/4,938.97
  6. Step 6: Final answer
    x = 2,478.25

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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.