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Finding the Fourth Proportional to 4,667.46, 7,000.65 and 1,381.20

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Solution

The fourth proportional to 4,667.46, 7,000.65 and 1,381.20 is: 2,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.46 : 7,000.65 = 1,381.20 : x
  2. Step 2: Convert to fraction form
    4,667.46/7,000.65 = 1,381.20/x
  3. Step 3: Cross multiply
    4,667.46x = 7,000.65 × 1,381.20
  4. Step 4: Simplify right side
    4,667.46x = 9,669,297.78
  5. Step 5: Solve for x
    x = 9,669,297.78/4,667.46
  6. Step 6: Final answer
    x = 2,071.64

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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.