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Finding the Fourth Proportional to 4,667.37, 7,001.46 and 1,546.71

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Solution

The fourth proportional to 4,667.37, 7,001.46 and 1,546.71 is: 2,320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.37 : 7,001.46 = 1,546.71 : x
  2. Step 2: Convert to fraction form
    4,667.37/7,001.46 = 1,546.71/x
  3. Step 3: Cross multiply
    4,667.37x = 7,001.46 × 1,546.71
  4. Step 4: Simplify right side
    4,667.37x = 10,829,228.20
  5. Step 5: Solve for x
    x = 10,829,228.20/4,667.37
  6. Step 6: Final answer
    x = 2,320.20

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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.