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Finding the Fourth Proportional to 4,660.62, 6,431.43 and 2,564.70

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Solution

The fourth proportional to 4,660.62, 6,431.43 and 2,564.70 is: 3,539.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.62 : 6,431.43 = 2,564.70 : x
  2. Step 2: Convert to fraction form
    4,660.62/6,431.43 = 2,564.70/x
  3. Step 3: Cross multiply
    4,660.62x = 6,431.43 × 2,564.70
  4. Step 4: Simplify right side
    4,660.62x = 16,494,688.52
  5. Step 5: Solve for x
    x = 16,494,688.52/4,660.62
  6. Step 6: Final answer
    x = 3,539.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.