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Finding the Fourth Proportional to 4,667.16, 7,001.88 and 3,835.60

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Solution

The fourth proportional to 4,667.16, 7,001.88 and 3,835.60 is: 5,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.16 : 7,001.88 = 3,835.60 : x
  2. Step 2: Convert to fraction form
    4,667.16/7,001.88 = 3,835.60/x
  3. Step 3: Cross multiply
    4,667.16x = 7,001.88 × 3,835.60
  4. Step 4: Simplify right side
    4,667.16x = 26,856,410.93
  5. Step 5: Solve for x
    x = 26,856,410.93/4,667.16
  6. Step 6: Final answer
    x = 5,754.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.