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Finding the Fourth Proportional to 5,803.62, 8,705.43 and 3,494.58

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Solution

The fourth proportional to 5,803.62, 8,705.43 and 3,494.58 is: 5,241.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.62 : 8,705.43 = 3,494.58 : x
  2. Step 2: Convert to fraction form
    5,803.62/8,705.43 = 3,494.58/x
  3. Step 3: Cross multiply
    5,803.62x = 8,705.43 × 3,494.58
  4. Step 4: Simplify right side
    5,803.62x = 30,421,821.57
  5. Step 5: Solve for x
    x = 30,421,821.57/5,803.62
  6. Step 6: Final answer
    x = 5,241.87

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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.