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Finding the Fourth Proportional to 4,672.74, 7,009.24 and 1,552.62

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Solution

The fourth proportional to 4,672.74, 7,009.24 and 1,552.62 is: 2,328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.74 : 7,009.24 = 1,552.62 : x
  2. Step 2: Convert to fraction form
    4,672.74/7,009.24 = 1,552.62/x
  3. Step 3: Cross multiply
    4,672.74x = 7,009.24 × 1,552.62
  4. Step 4: Simplify right side
    4,672.74x = 10,882,686.21
  5. Step 5: Solve for x
    x = 10,882,686.21/4,672.74
  6. Step 6: Final answer
    x = 2,328.97

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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.