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Finding the Fourth Proportional to 4,997.61, 6,897.29 and 4,156.83

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Solution

The fourth proportional to 4,997.61, 6,897.29 and 4,156.83 is: 5,736.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.61 : 6,897.29 = 4,156.83 : x
  2. Step 2: Convert to fraction form
    4,997.61/6,897.29 = 4,156.83/x
  3. Step 3: Cross multiply
    4,997.61x = 6,897.29 × 4,156.83
  4. Step 4: Simplify right side
    4,997.61x = 28,670,841.21
  5. Step 5: Solve for x
    x = 28,670,841.21/4,997.61
  6. Step 6: Final answer
    x = 5,736.91

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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.