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Finding the Fourth Proportional to 3,162.47, 4,745.42 and 1,314.86

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Solution

The fourth proportional to 3,162.47, 4,745.42 and 1,314.86 is: 1,973.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.47 : 4,745.42 = 1,314.86 : x
  2. Step 2: Convert to fraction form
    3,162.47/4,745.42 = 1,314.86/x
  3. Step 3: Cross multiply
    3,162.47x = 4,745.42 × 1,314.86
  4. Step 4: Simplify right side
    3,162.47x = 6,239,562.94
  5. Step 5: Solve for x
    x = 6,239,562.94/3,162.47
  6. Step 6: Final answer
    x = 1,973.00

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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.