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Finding the Fourth Proportional to 4,562.40, 6,841.60 and 2,096.40

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Solution

The fourth proportional to 4,562.40, 6,841.60 and 2,096.40 is: 3,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.40 : 6,841.60 = 2,096.40 : x
  2. Step 2: Convert to fraction form
    4,562.40/6,841.60 = 2,096.40/x
  3. Step 3: Cross multiply
    4,562.40x = 6,841.60 × 2,096.40
  4. Step 4: Simplify right side
    4,562.40x = 14,342,730.24
  5. Step 5: Solve for x
    x = 14,342,730.24/4,562.40
  6. Step 6: Final answer
    x = 3,143.68

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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.