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Finding the Fourth Proportional to 5,321.84, 7,343.57 and 3,084.41

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Solution

The fourth proportional to 5,321.84, 7,343.57 and 3,084.41 is: 4,256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.84 : 7,343.57 = 3,084.41 : x
  2. Step 2: Convert to fraction form
    5,321.84/7,343.57 = 3,084.41/x
  3. Step 3: Cross multiply
    5,321.84x = 7,343.57 × 3,084.41
  4. Step 4: Simplify right side
    5,321.84x = 22,650,606.81
  5. Step 5: Solve for x
    x = 22,650,606.81/5,321.84
  6. Step 6: Final answer
    x = 4,256.16

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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.