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Finding the Fourth Proportional to 3,583.29, 5,373.22 and 1,828.90

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Solution

The fourth proportional to 3,583.29, 5,373.22 and 1,828.90 is: 2,742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.29 : 5,373.22 = 1,828.90 : x
  2. Step 2: Convert to fraction form
    3,583.29/5,373.22 = 1,828.90/x
  3. Step 3: Cross multiply
    3,583.29x = 5,373.22 × 1,828.90
  4. Step 4: Simplify right side
    3,583.29x = 9,827,082.06
  5. Step 5: Solve for x
    x = 9,827,082.06/3,583.29
  6. Step 6: Final answer
    x = 2,742.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.