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Finding the Fourth Proportional to 3,636.24, 5,017.86 and 2,064.42

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Solution

The fourth proportional to 3,636.24, 5,017.86 and 2,064.42 is: 2,848.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.24 : 5,017.86 = 2,064.42 : x
  2. Step 2: Convert to fraction form
    3,636.24/5,017.86 = 2,064.42/x
  3. Step 3: Cross multiply
    3,636.24x = 5,017.86 × 2,064.42
  4. Step 4: Simplify right side
    3,636.24x = 10,358,970.54
  5. Step 5: Solve for x
    x = 10,358,970.54/3,636.24
  6. Step 6: Final answer
    x = 2,848.81

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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.