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Finding the Fourth Proportional to 4,648.61, 6,415.37 and 2,552.73

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Solution

The fourth proportional to 4,648.61, 6,415.37 and 2,552.73 is: 3,522.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.61 : 6,415.37 = 2,552.73 : x
  2. Step 2: Convert to fraction form
    4,648.61/6,415.37 = 2,552.73/x
  3. Step 3: Cross multiply
    4,648.61x = 6,415.37 × 2,552.73
  4. Step 4: Simplify right side
    4,648.61x = 16,376,694.70
  5. Step 5: Solve for x
    x = 16,376,694.70/4,648.61
  6. Step 6: Final answer
    x = 3,522.93

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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.