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Finding the Fourth Proportional to 3,644.94, 5,030.12 and 2,051.61

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Solution

The fourth proportional to 3,644.94, 5,030.12 and 2,051.61 is: 2,831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.94 : 5,030.12 = 2,051.61 : x
  2. Step 2: Convert to fraction form
    3,644.94/5,030.12 = 2,051.61/x
  3. Step 3: Cross multiply
    3,644.94x = 5,030.12 × 2,051.61
  4. Step 4: Simplify right side
    3,644.94x = 10,319,844.49
  5. Step 5: Solve for x
    x = 10,319,844.49/3,644.94
  6. Step 6: Final answer
    x = 2,831.28

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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.