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Finding the Fourth Proportional to 4,712.01, 6,504.98 and 3,647.40

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Solution

The fourth proportional to 4,712.01, 6,504.98 and 3,647.40 is: 5,035.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.01 : 6,504.98 = 3,647.40 : x
  2. Step 2: Convert to fraction form
    4,712.01/6,504.98 = 3,647.40/x
  3. Step 3: Cross multiply
    4,712.01x = 6,504.98 × 3,647.40
  4. Step 4: Simplify right side
    4,712.01x = 23,726,245.82
  5. Step 5: Solve for x
    x = 23,726,245.82/4,712.01
  6. Step 6: Final answer
    x = 5,035.27

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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.