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Finding the Fourth Proportional to 4,285.60, 6,428.40 and 2,406.40

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Solution

The fourth proportional to 4,285.60, 6,428.40 and 2,406.40 is: 3,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285.60 : 6,428.40 = 2,406.40 : x
  2. Step 2: Convert to fraction form
    4,285.60/6,428.40 = 2,406.40/x
  3. Step 3: Cross multiply
    4,285.60x = 6,428.40 × 2,406.40
  4. Step 4: Simplify right side
    4,285.60x = 15,469,301.76
  5. Step 5: Solve for x
    x = 15,469,301.76/4,285.60
  6. Step 6: Final answer
    x = 3,609.60

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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.