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Finding the Fourth Proportional to 5,407.52, 8,111.34 and 1,709.66

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Solution

The fourth proportional to 5,407.52, 8,111.34 and 1,709.66 is: 2,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.52 : 8,111.34 = 1,709.66 : x
  2. Step 2: Convert to fraction form
    5,407.52/8,111.34 = 1,709.66/x
  3. Step 3: Cross multiply
    5,407.52x = 8,111.34 × 1,709.66
  4. Step 4: Simplify right side
    5,407.52x = 13,867,633.54
  5. Step 5: Solve for x
    x = 13,867,633.54/5,407.52
  6. Step 6: Final answer
    x = 2,564.51

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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.