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Finding the Fourth Proportional to 5,737.35, 8,598.85 and 2,446.60

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Solution

The fourth proportional to 5,737.35, 8,598.85 and 2,446.60 is: 3,666.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.35 : 8,598.85 = 2,446.60 : x
  2. Step 2: Convert to fraction form
    5,737.35/8,598.85 = 2,446.60/x
  3. Step 3: Cross multiply
    5,737.35x = 8,598.85 × 2,446.60
  4. Step 4: Simplify right side
    5,737.35x = 21,037,946.41
  5. Step 5: Solve for x
    x = 21,037,946.41/5,737.35
  6. Step 6: Final answer
    x = 3,666.84

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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.