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Finding the Fourth Proportional to 4,997.61, 6,894.09 and 3,816.63

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Solution

The fourth proportional to 4,997.61, 6,894.09 and 3,816.63 is: 5,264.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.61 : 6,894.09 = 3,816.63 : x
  2. Step 2: Convert to fraction form
    4,997.61/6,894.09 = 3,816.63/x
  3. Step 3: Cross multiply
    4,997.61x = 6,894.09 × 3,816.63
  4. Step 4: Simplify right side
    4,997.61x = 26,312,190.72
  5. Step 5: Solve for x
    x = 26,312,190.72/4,997.61
  6. Step 6: Final answer
    x = 5,264.95

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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.