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Finding the Fourth Proportional to 3,162.55, 4,745.27 and 1,315.03

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Solution

The fourth proportional to 3,162.55, 4,745.27 and 1,315.03 is: 1,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.55 : 4,745.27 = 1,315.03 : x
  2. Step 2: Convert to fraction form
    3,162.55/4,745.27 = 1,315.03/x
  3. Step 3: Cross multiply
    3,162.55x = 4,745.27 × 1,315.03
  4. Step 4: Simplify right side
    3,162.55x = 6,240,165.83
  5. Step 5: Solve for x
    x = 6,240,165.83/3,162.55
  6. Step 6: Final answer
    x = 1,973.14

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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.