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Finding the Fourth Proportional to 4,285.50, 6,381.42 and 4,127.86

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Solution

The fourth proportional to 4,285.50, 6,381.42 and 4,127.86 is: 6,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285.50 : 6,381.42 = 4,127.86 : x
  2. Step 2: Convert to fraction form
    4,285.50/6,381.42 = 4,127.86/x
  3. Step 3: Cross multiply
    4,285.50x = 6,381.42 × 4,127.86
  4. Step 4: Simplify right side
    4,285.50x = 26,341,624.08
  5. Step 5: Solve for x
    x = 26,341,624.08/4,285.50
  6. Step 6: Final answer
    x = 6,146.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.