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Finding the Fourth Proportional to 5,407.31, 8,111.14 and 1,709.57

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Solution

The fourth proportional to 5,407.31, 8,111.14 and 1,709.57 is: 2,564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.31 : 8,111.14 = 1,709.57 : x
  2. Step 2: Convert to fraction form
    5,407.31/8,111.14 = 1,709.57/x
  3. Step 3: Cross multiply
    5,407.31x = 8,111.14 × 1,709.57
  4. Step 4: Simplify right side
    5,407.31x = 13,866,577.61
  5. Step 5: Solve for x
    x = 13,866,577.61/5,407.31
  6. Step 6: Final answer
    x = 2,564.41

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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.