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Finding the Fourth Proportional to 4,964.76, 7,443.50 and 2,369.52

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Solution

The fourth proportional to 4,964.76, 7,443.50 and 2,369.52 is: 3,552.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.76 : 7,443.50 = 2,369.52 : x
  2. Step 2: Convert to fraction form
    4,964.76/7,443.50 = 2,369.52/x
  3. Step 3: Cross multiply
    4,964.76x = 7,443.50 × 2,369.52
  4. Step 4: Simplify right side
    4,964.76x = 17,637,510.27
  5. Step 5: Solve for x
    x = 17,637,510.27/4,964.76
  6. Step 6: Final answer
    x = 3,552.54

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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.