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Finding the Fourth Proportional to 4,631.70, 6,943.65 and 3,752.02

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Solution

The fourth proportional to 4,631.70, 6,943.65 and 3,752.02 is: 5,624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,631.70 : 6,943.65 = 3,752.02 : x
  2. Step 2: Convert to fraction form
    4,631.70/6,943.65 = 3,752.02/x
  3. Step 3: Cross multiply
    4,631.70x = 6,943.65 × 3,752.02
  4. Step 4: Simplify right side
    4,631.70x = 26,052,703.24
  5. Step 5: Solve for x
    x = 26,052,703.24/4,631.70
  6. Step 6: Final answer
    x = 5,624.87

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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.