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Finding the Fourth Proportional to 4,314.72, 6,465.90 and 2,462

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Solution

The fourth proportional to 4,314.72, 6,465.90 and 2,462 is: 3,689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.72 : 6,465.90 = 2,462 : x
  2. Step 2: Convert to fraction form
    4,314.72/6,465.90 = 2,462/x
  3. Step 3: Cross multiply
    4,314.72x = 6,465.90 × 2,462
  4. Step 4: Simplify right side
    4,314.72x = 15,919,045.80
  5. Step 5: Solve for x
    x = 15,919,045.80/4,314.72
  6. Step 6: Final answer
    x = 3,689.47

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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.