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Finding the Fourth Proportional to 5,095.48, 7,630.24 and 4,667.80

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Solution

The fourth proportional to 5,095.48, 7,630.24 and 4,667.80 is: 6,989.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.48 : 7,630.24 = 4,667.80 : x
  2. Step 2: Convert to fraction form
    5,095.48/7,630.24 = 4,667.80/x
  3. Step 3: Cross multiply
    5,095.48x = 7,630.24 × 4,667.80
  4. Step 4: Simplify right side
    5,095.48x = 35,616,434.27
  5. Step 5: Solve for x
    x = 35,616,434.27/5,095.48
  6. Step 6: Final answer
    x = 6,989.81

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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.