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Finding the Fourth Proportional to 5,408.14, 8,113.05 and 1,710.02

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Solution

The fourth proportional to 5,408.14, 8,113.05 and 1,710.02 is: 2,565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.14 : 8,113.05 = 1,710.02 : x
  2. Step 2: Convert to fraction form
    5,408.14/8,113.05 = 1,710.02/x
  3. Step 3: Cross multiply
    5,408.14x = 8,113.05 × 1,710.02
  4. Step 4: Simplify right side
    5,408.14x = 13,873,437.20
  5. Step 5: Solve for x
    x = 13,873,437.20/5,408.14
  6. Step 6: Final answer
    x = 2,565.29

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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.