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Finding the Fourth Proportional to 5,406.94, 8,110.58 and 1,709.20

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Solution

The fourth proportional to 5,406.94, 8,110.58 and 1,709.20 is: 2,563.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.94 : 8,110.58 = 1,709.20 : x
  2. Step 2: Convert to fraction form
    5,406.94/8,110.58 = 1,709.20/x
  3. Step 3: Cross multiply
    5,406.94x = 8,110.58 × 1,709.20
  4. Step 4: Simplify right side
    5,406.94x = 13,862,603.34
  5. Step 5: Solve for x
    x = 13,862,603.34/5,406.94
  6. Step 6: Final answer
    x = 2,563.85

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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.