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Finding the Fourth Proportional to 3,142.99, 4,714.40 and 1,062.98

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Solution

The fourth proportional to 3,142.99, 4,714.40 and 1,062.98 is: 1,594.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.99 : 4,714.40 = 1,062.98 : x
  2. Step 2: Convert to fraction form
    3,142.99/4,714.40 = 1,062.98/x
  3. Step 3: Cross multiply
    3,142.99x = 4,714.40 × 1,062.98
  4. Step 4: Simplify right side
    3,142.99x = 5,011,309.68
  5. Step 5: Solve for x
    x = 5,011,309.68/3,142.99
  6. Step 6: Final answer
    x = 1,594.44

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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.