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Finding the Fourth Proportional to 5,335.41, 8,007.19 and 2,415.76

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Solution

The fourth proportional to 5,335.41, 8,007.19 and 2,415.76 is: 3,625.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.41 : 8,007.19 = 2,415.76 : x
  2. Step 2: Convert to fraction form
    5,335.41/8,007.19 = 2,415.76/x
  3. Step 3: Cross multiply
    5,335.41x = 8,007.19 × 2,415.76
  4. Step 4: Simplify right side
    5,335.41x = 19,343,452.33
  5. Step 5: Solve for x
    x = 19,343,452.33/5,335.41
  6. Step 6: Final answer
    x = 3,625.49

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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.