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Finding the Fourth Proportional to 4,667.62, 7,001.40 and 1,204.90

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Solution

The fourth proportional to 4,667.62, 7,001.40 and 1,204.90 is: 1,807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.62 : 7,001.40 = 1,204.90 : x
  2. Step 2: Convert to fraction form
    4,667.62/7,001.40 = 1,204.90/x
  3. Step 3: Cross multiply
    4,667.62x = 7,001.40 × 1,204.90
  4. Step 4: Simplify right side
    4,667.62x = 8,435,986.86
  5. Step 5: Solve for x
    x = 8,435,986.86/4,667.62
  6. Step 6: Final answer
    x = 1,807.34

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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.