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Finding the Fourth Proportional to 5,808.76, 8,712.42 and 3,438.25

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Solution

The fourth proportional to 5,808.76, 8,712.42 and 3,438.25 is: 5,156.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,808.76 : 8,712.42 = 3,438.25 : x
  2. Step 2: Convert to fraction form
    5,808.76/8,712.42 = 3,438.25/x
  3. Step 3: Cross multiply
    5,808.76x = 8,712.42 × 3,438.25
  4. Step 4: Simplify right side
    5,808.76x = 29,955,478.07
  5. Step 5: Solve for x
    x = 29,955,478.07/5,808.76
  6. Step 6: Final answer
    x = 5,156.95

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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.