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Finding the Fourth Proportional to 5,541.58, 7,640.58 and 3,442.06

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Solution

The fourth proportional to 5,541.58, 7,640.58 and 3,442.06 is: 4,745.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.58 : 7,640.58 = 3,442.06 : x
  2. Step 2: Convert to fraction form
    5,541.58/7,640.58 = 3,442.06/x
  3. Step 3: Cross multiply
    5,541.58x = 7,640.58 × 3,442.06
  4. Step 4: Simplify right side
    5,541.58x = 26,299,337.89
  5. Step 5: Solve for x
    x = 26,299,337.89/5,541.58
  6. Step 6: Final answer
    x = 4,745.82

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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.