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Finding the Fourth Proportional to 3,810.14, 5,714.15 and 1,344.63

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Solution

The fourth proportional to 3,810.14, 5,714.15 and 1,344.63 is: 2,016.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.14 : 5,714.15 = 1,344.63 : x
  2. Step 2: Convert to fraction form
    3,810.14/5,714.15 = 1,344.63/x
  3. Step 3: Cross multiply
    3,810.14x = 5,714.15 × 1,344.63
  4. Step 4: Simplify right side
    3,810.14x = 7,683,432.22
  5. Step 5: Solve for x
    x = 7,683,432.22/3,810.14
  6. Step 6: Final answer
    x = 2,016.58

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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.