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Finding the Fourth Proportional to 5,821.46, 8,737.68 and 3,875.02

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Solution

The fourth proportional to 5,821.46, 8,737.68 and 3,875.02 is: 5,816.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.46 : 8,737.68 = 3,875.02 : x
  2. Step 2: Convert to fraction form
    5,821.46/8,737.68 = 3,875.02/x
  3. Step 3: Cross multiply
    5,821.46x = 8,737.68 × 3,875.02
  4. Step 4: Simplify right side
    5,821.46x = 33,858,684.75
  5. Step 5: Solve for x
    x = 33,858,684.75/5,821.46
  6. Step 6: Final answer
    x = 5,816.18

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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.