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Finding the Fourth Proportional to 4,937.42, 7,406.16 and 2,013.68

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Solution

The fourth proportional to 4,937.42, 7,406.16 and 2,013.68 is: 3,020.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.42 : 7,406.16 = 2,013.68 : x
  2. Step 2: Convert to fraction form
    4,937.42/7,406.16 = 2,013.68/x
  3. Step 3: Cross multiply
    4,937.42x = 7,406.16 × 2,013.68
  4. Step 4: Simplify right side
    4,937.42x = 14,913,636.27
  5. Step 5: Solve for x
    x = 14,913,636.27/4,937.42
  6. Step 6: Final answer
    x = 3,020.53

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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.