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Finding the Fourth Proportional to 4,470.30, 6,704.46 and 1,837.14

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Solution

The fourth proportional to 4,470.30, 6,704.46 and 1,837.14 is: 2,755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.30 : 6,704.46 = 1,837.14 : x
  2. Step 2: Convert to fraction form
    4,470.30/6,704.46 = 1,837.14/x
  3. Step 3: Cross multiply
    4,470.30x = 6,704.46 × 1,837.14
  4. Step 4: Simplify right side
    4,470.30x = 12,317,031.64
  5. Step 5: Solve for x
    x = 12,317,031.64/4,470.30
  6. Step 6: Final answer
    x = 2,755.30

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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.