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Finding the Fourth Proportional to 4,647.30, 6,423.48 and 4,083.54

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Solution

The fourth proportional to 4,647.30, 6,423.48 and 4,083.54 is: 5,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.30 : 6,423.48 = 4,083.54 : x
  2. Step 2: Convert to fraction form
    4,647.30/6,423.48 = 4,083.54/x
  3. Step 3: Cross multiply
    4,647.30x = 6,423.48 × 4,083.54
  4. Step 4: Simplify right side
    4,647.30x = 26,230,537.52
  5. Step 5: Solve for x
    x = 26,230,537.52/4,647.30
  6. Step 6: Final answer
    x = 5,644.25

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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.