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Finding the Fourth Proportional to 5,467.68, 8,201.43 and 1,572.08

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Solution

The fourth proportional to 5,467.68, 8,201.43 and 1,572.08 is: 2,358.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467.68 : 8,201.43 = 1,572.08 : x
  2. Step 2: Convert to fraction form
    5,467.68/8,201.43 = 1,572.08/x
  3. Step 3: Cross multiply
    5,467.68x = 8,201.43 × 1,572.08
  4. Step 4: Simplify right side
    5,467.68x = 12,893,263.07
  5. Step 5: Solve for x
    x = 12,893,263.07/5,467.68
  6. Step 6: Final answer
    x = 2,358.09

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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.