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Finding the Fourth Proportional to 5,648.49, 8,477.97 and 4,068.83

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Solution

The fourth proportional to 5,648.49, 8,477.97 and 4,068.83 is: 6,107.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.49 : 8,477.97 = 4,068.83 : x
  2. Step 2: Convert to fraction form
    5,648.49/8,477.97 = 4,068.83/x
  3. Step 3: Cross multiply
    5,648.49x = 8,477.97 × 4,068.83
  4. Step 4: Simplify right side
    5,648.49x = 34,495,398.33
  5. Step 5: Solve for x
    x = 34,495,398.33/5,648.49
  6. Step 6: Final answer
    x = 6,107.02

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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.