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Finding the Fourth Proportional to 3,743.51, 5,165.94 and 2,064.87

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Solution

The fourth proportional to 3,743.51, 5,165.94 and 2,064.87 is: 2,849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.51 : 5,165.94 = 2,064.87 : x
  2. Step 2: Convert to fraction form
    3,743.51/5,165.94 = 2,064.87/x
  3. Step 3: Cross multiply
    3,743.51x = 5,165.94 × 2,064.87
  4. Step 4: Simplify right side
    3,743.51x = 10,666,994.53
  5. Step 5: Solve for x
    x = 10,666,994.53/3,743.51
  6. Step 6: Final answer
    x = 2,849.47

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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.