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Finding the Fourth Proportional to 3,810.45, 5,714.58 and 1,470.27

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Solution

The fourth proportional to 3,810.45, 5,714.58 and 1,470.27 is: 2,204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.45 : 5,714.58 = 1,470.27 : x
  2. Step 2: Convert to fraction form
    3,810.45/5,714.58 = 1,470.27/x
  3. Step 3: Cross multiply
    3,810.45x = 5,714.58 × 1,470.27
  4. Step 4: Simplify right side
    3,810.45x = 8,401,975.54
  5. Step 5: Solve for x
    x = 8,401,975.54/3,810.45
  6. Step 6: Final answer
    x = 2,204.98

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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.