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Finding the Fourth Proportional to 4,997.84, 6,897.12 and 2,902.10

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Solution

The fourth proportional to 4,997.84, 6,897.12 and 2,902.10 is: 4,004.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.84 : 6,897.12 = 2,902.10 : x
  2. Step 2: Convert to fraction form
    4,997.84/6,897.12 = 2,902.10/x
  3. Step 3: Cross multiply
    4,997.84x = 6,897.12 × 2,902.10
  4. Step 4: Simplify right side
    4,997.84x = 20,016,131.95
  5. Step 5: Solve for x
    x = 20,016,131.95/4,997.84
  6. Step 6: Final answer
    x = 4,004.96

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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.