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Finding the Fourth Proportional to 3,722.84, 5,139.90 and 3,323.81

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Solution

The fourth proportional to 3,722.84, 5,139.90 and 3,323.81 is: 4,588.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.84 : 5,139.90 = 3,323.81 : x
  2. Step 2: Convert to fraction form
    3,722.84/5,139.90 = 3,323.81/x
  3. Step 3: Cross multiply
    3,722.84x = 5,139.90 × 3,323.81
  4. Step 4: Simplify right side
    3,722.84x = 17,084,051.02
  5. Step 5: Solve for x
    x = 17,084,051.02/3,722.84
  6. Step 6: Final answer
    x = 4,588.98

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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.