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Finding the Fourth Proportional to 5,647.19, 7,792.22 and 3,549.83

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Solution

The fourth proportional to 5,647.19, 7,792.22 and 3,549.83 is: 4,898.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.19 : 7,792.22 = 3,549.83 : x
  2. Step 2: Convert to fraction form
    5,647.19/7,792.22 = 3,549.83/x
  3. Step 3: Cross multiply
    5,647.19x = 7,792.22 × 3,549.83
  4. Step 4: Simplify right side
    5,647.19x = 27,661,038.57
  5. Step 5: Solve for x
    x = 27,661,038.57/5,647.19
  6. Step 6: Final answer
    x = 4,898.20

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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.