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Finding the Fourth Proportional to 4,297.40, 6,440.46 and 3,115.40

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Solution

The fourth proportional to 4,297.40, 6,440.46 and 3,115.40 is: 4,669.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.40 : 6,440.46 = 3,115.40 : x
  2. Step 2: Convert to fraction form
    4,297.40/6,440.46 = 3,115.40/x
  3. Step 3: Cross multiply
    4,297.40x = 6,440.46 × 3,115.40
  4. Step 4: Simplify right side
    4,297.40x = 20,064,609.08
  5. Step 5: Solve for x
    x = 20,064,609.08/4,297.40
  6. Step 6: Final answer
    x = 4,669.01

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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.