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Finding the Fourth Proportional to 4,997.95, 6,897.40 and 2,874.17

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Solution

The fourth proportional to 4,997.95, 6,897.40 and 2,874.17 is: 3,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.95 : 6,897.40 = 2,874.17 : x
  2. Step 2: Convert to fraction form
    4,997.95/6,897.40 = 2,874.17/x
  3. Step 3: Cross multiply
    4,997.95x = 6,897.40 × 2,874.17
  4. Step 4: Simplify right side
    4,997.95x = 19,824,300.16
  5. Step 5: Solve for x
    x = 19,824,300.16/4,997.95
  6. Step 6: Final answer
    x = 3,966.49

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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.