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Finding the Fourth Proportional to 4,962.69, 7,443.77 and 1,452.56

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Solution

The fourth proportional to 4,962.69, 7,443.77 and 1,452.56 is: 2,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.69 : 7,443.77 = 1,452.56 : x
  2. Step 2: Convert to fraction form
    4,962.69/7,443.77 = 1,452.56/x
  3. Step 3: Cross multiply
    4,962.69x = 7,443.77 × 1,452.56
  4. Step 4: Simplify right side
    4,962.69x = 10,812,478.07
  5. Step 5: Solve for x
    x = 10,812,478.07/4,962.69
  6. Step 6: Final answer
    x = 2,178.75

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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.