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Finding the Fourth Proportional to 3,637.14, 5,019.30 and 2,064.93

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Solution

The fourth proportional to 3,637.14, 5,019.30 and 2,064.93 is: 2,849.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.14 : 5,019.30 = 2,064.93 : x
  2. Step 2: Convert to fraction form
    3,637.14/5,019.30 = 2,064.93/x
  3. Step 3: Cross multiply
    3,637.14x = 5,019.30 × 2,064.93
  4. Step 4: Simplify right side
    3,637.14x = 10,364,503.15
  5. Step 5: Solve for x
    x = 10,364,503.15/3,637.14
  6. Step 6: Final answer
    x = 2,849.63

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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.