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Finding the Fourth Proportional to 3,628.70, 5,007.88 and 2,035.53

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Solution

The fourth proportional to 3,628.70, 5,007.88 and 2,035.53 is: 2,809.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.70 : 5,007.88 = 2,035.53 : x
  2. Step 2: Convert to fraction form
    3,628.70/5,007.88 = 2,035.53/x
  3. Step 3: Cross multiply
    3,628.70x = 5,007.88 × 2,035.53
  4. Step 4: Simplify right side
    3,628.70x = 10,193,681.07
  5. Step 5: Solve for x
    x = 10,193,681.07/3,628.70
  6. Step 6: Final answer
    x = 2,809.18

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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.