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Finding the Fourth Proportional to 5,541.82, 7,647.82 and 4,348.23

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Solution

The fourth proportional to 5,541.82, 7,647.82 and 4,348.23 is: 6,000.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.82 : 7,647.82 = 4,348.23 : x
  2. Step 2: Convert to fraction form
    5,541.82/7,647.82 = 4,348.23/x
  3. Step 3: Cross multiply
    5,541.82x = 7,647.82 × 4,348.23
  4. Step 4: Simplify right side
    5,541.82x = 33,254,483.83
  5. Step 5: Solve for x
    x = 33,254,483.83/5,541.82
  6. Step 6: Final answer
    x = 6,000.65

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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.