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Finding the Fourth Proportional to 4,667.88, 7,001.84 and 1,205.16

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Solution

The fourth proportional to 4,667.88, 7,001.84 and 1,205.16 is: 1,807.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.88 : 7,001.84 = 1,205.16 : x
  2. Step 2: Convert to fraction form
    4,667.88/7,001.84 = 1,205.16/x
  3. Step 3: Cross multiply
    4,667.88x = 7,001.84 × 1,205.16
  4. Step 4: Simplify right side
    4,667.88x = 8,438,337.49
  5. Step 5: Solve for x
    x = 8,438,337.49/4,667.88
  6. Step 6: Final answer
    x = 1,807.75

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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.