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Finding the Fourth Proportional to 3,870.13, 5,802.63 and 1,997.17

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Solution

The fourth proportional to 3,870.13, 5,802.63 and 1,997.17 is: 2,994.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.13 : 5,802.63 = 1,997.17 : x
  2. Step 2: Convert to fraction form
    3,870.13/5,802.63 = 1,997.17/x
  3. Step 3: Cross multiply
    3,870.13x = 5,802.63 × 1,997.17
  4. Step 4: Simplify right side
    3,870.13x = 11,588,838.56
  5. Step 5: Solve for x
    x = 11,588,838.56/3,870.13
  6. Step 6: Final answer
    x = 2,994.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.