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Finding the Fourth Proportional to 3,133.80, 4,691.48 and 2,315.72

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Solution

The fourth proportional to 3,133.80, 4,691.48 and 2,315.72 is: 3,466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.80 : 4,691.48 = 2,315.72 : x
  2. Step 2: Convert to fraction form
    3,133.80/4,691.48 = 2,315.72/x
  3. Step 3: Cross multiply
    3,133.80x = 4,691.48 × 2,315.72
  4. Step 4: Simplify right side
    3,133.80x = 10,864,154.22
  5. Step 5: Solve for x
    x = 10,864,154.22/3,133.80
  6. Step 6: Final answer
    x = 3,466.77

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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.