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Finding the Fourth Proportional to 3,315.70, 4,966.35 and 2,667.70

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Solution

The fourth proportional to 3,315.70, 4,966.35 and 2,667.70 is: 3,995.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.70 : 4,966.35 = 2,667.70 : x
  2. Step 2: Convert to fraction form
    3,315.70/4,966.35 = 2,667.70/x
  3. Step 3: Cross multiply
    3,315.70x = 4,966.35 × 2,667.70
  4. Step 4: Simplify right side
    3,315.70x = 13,248,731.90
  5. Step 5: Solve for x
    x = 13,248,731.90/3,315.70
  6. Step 6: Final answer
    x = 3,995.76

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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.