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Finding the Fourth Proportional to 4,647.66, 6,406.46 and 3,524.10

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Solution

The fourth proportional to 4,647.66, 6,406.46 and 3,524.10 is: 4,857.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.66 : 6,406.46 = 3,524.10 : x
  2. Step 2: Convert to fraction form
    4,647.66/6,406.46 = 3,524.10/x
  3. Step 3: Cross multiply
    4,647.66x = 6,406.46 × 3,524.10
  4. Step 4: Simplify right side
    4,647.66x = 22,577,005.69
  5. Step 5: Solve for x
    x = 22,577,005.69/4,647.66
  6. Step 6: Final answer
    x = 4,857.71

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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.