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Finding the Fourth Proportional to 5,408.70, 8,113.90 and 1,710.58

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Solution

The fourth proportional to 5,408.70, 8,113.90 and 1,710.58 is: 2,566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.70 : 8,113.90 = 1,710.58 : x
  2. Step 2: Convert to fraction form
    5,408.70/8,113.90 = 1,710.58/x
  3. Step 3: Cross multiply
    5,408.70x = 8,113.90 × 1,710.58
  4. Step 4: Simplify right side
    5,408.70x = 13,879,446.22
  5. Step 5: Solve for x
    x = 13,879,446.22/5,408.70
  6. Step 6: Final answer
    x = 2,566.13

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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.