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Finding the Fourth Proportional to 5,255.05, 7,880.15 and 3,064.41

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Solution

The fourth proportional to 5,255.05, 7,880.15 and 3,064.41 is: 4,595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.05 : 7,880.15 = 3,064.41 : x
  2. Step 2: Convert to fraction form
    5,255.05/7,880.15 = 3,064.41/x
  3. Step 3: Cross multiply
    5,255.05x = 7,880.15 × 3,064.41
  4. Step 4: Simplify right side
    5,255.05x = 24,148,010.46
  5. Step 5: Solve for x
    x = 24,148,010.46/5,255.05
  6. Step 6: Final answer
    x = 4,595.20

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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.