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Finding the Fourth Proportional to 5,259.96, 7,880.22 and 3,795.48

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Solution

The fourth proportional to 5,259.96, 7,880.22 and 3,795.48 is: 5,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.96 : 7,880.22 = 3,795.48 : x
  2. Step 2: Convert to fraction form
    5,259.96/7,880.22 = 3,795.48/x
  3. Step 3: Cross multiply
    5,259.96x = 7,880.22 × 3,795.48
  4. Step 4: Simplify right side
    5,259.96x = 29,909,217.41
  5. Step 5: Solve for x
    x = 29,909,217.41/5,259.96
  6. Step 6: Final answer
    x = 5,686.21

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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.