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Finding the Fourth Proportional to 5,408.01, 8,112.81 and 1,709.40

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Solution

The fourth proportional to 5,408.01, 8,112.81 and 1,709.40 is: 2,564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.01 : 8,112.81 = 1,709.40 : x
  2. Step 2: Convert to fraction form
    5,408.01/8,112.81 = 1,709.40/x
  3. Step 3: Cross multiply
    5,408.01x = 8,112.81 × 1,709.40
  4. Step 4: Simplify right side
    5,408.01x = 13,868,017.13
  5. Step 5: Solve for x
    x = 13,868,017.13/5,408.01
  6. Step 6: Final answer
    x = 2,564.35

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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.