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Finding the Fourth Proportional to 4,937.42, 7,408.20 and 1,817.76

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Solution

The fourth proportional to 4,937.42, 7,408.20 and 1,817.76 is: 2,727.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.42 : 7,408.20 = 1,817.76 : x
  2. Step 2: Convert to fraction form
    4,937.42/7,408.20 = 1,817.76/x
  3. Step 3: Cross multiply
    4,937.42x = 7,408.20 × 1,817.76
  4. Step 4: Simplify right side
    4,937.42x = 13,466,329.63
  5. Step 5: Solve for x
    x = 13,466,329.63/4,937.42
  6. Step 6: Final answer
    x = 2,727.40

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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.