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Finding the Fourth Proportional to 5,467.69, 8,201.94 and 1,572.40

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Solution

The fourth proportional to 5,467.69, 8,201.94 and 1,572.40 is: 2,358.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467.69 : 8,201.94 = 1,572.40 : x
  2. Step 2: Convert to fraction form
    5,467.69/8,201.94 = 1,572.40/x
  3. Step 3: Cross multiply
    5,467.69x = 8,201.94 × 1,572.40
  4. Step 4: Simplify right side
    5,467.69x = 12,896,730.46
  5. Step 5: Solve for x
    x = 12,896,730.46/5,467.69
  6. Step 6: Final answer
    x = 2,358.72

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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.