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Finding the Fourth Proportional to 4,648.69, 6,415.34 and 2,552.82

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Solution

The fourth proportional to 4,648.69, 6,415.34 and 2,552.82 is: 3,522.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.69 : 6,415.34 = 2,552.82 : x
  2. Step 2: Convert to fraction form
    4,648.69/6,415.34 = 2,552.82/x
  3. Step 3: Cross multiply
    4,648.69x = 6,415.34 × 2,552.82
  4. Step 4: Simplify right side
    4,648.69x = 16,377,176.18
  5. Step 5: Solve for x
    x = 16,377,176.18/4,648.69
  6. Step 6: Final answer
    x = 3,522.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.