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Finding the Fourth Proportional to 4,640.49, 6,399.52 and 3,699.40

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Solution

The fourth proportional to 4,640.49, 6,399.52 and 3,699.40 is: 5,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.49 : 6,399.52 = 3,699.40 : x
  2. Step 2: Convert to fraction form
    4,640.49/6,399.52 = 3,699.40/x
  3. Step 3: Cross multiply
    4,640.49x = 6,399.52 × 3,699.40
  4. Step 4: Simplify right side
    4,640.49x = 23,674,384.29
  5. Step 5: Solve for x
    x = 23,674,384.29/4,640.49
  6. Step 6: Final answer
    x = 5,101.70

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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.