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Finding the Fourth Proportional to 4,667.10, 7,001.74 and 1,546.88

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Solution

The fourth proportional to 4,667.10, 7,001.74 and 1,546.88 is: 2,320.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.10 : 7,001.74 = 1,546.88 : x
  2. Step 2: Convert to fraction form
    4,667.10/7,001.74 = 1,546.88/x
  3. Step 3: Cross multiply
    4,667.10x = 7,001.74 × 1,546.88
  4. Step 4: Simplify right side
    4,667.10x = 10,830,857.88
  5. Step 5: Solve for x
    x = 10,830,857.88/4,667.10
  6. Step 6: Final answer
    x = 2,320.68

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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.