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Finding the Fourth Proportional to 5,509.14, 7,604.61 and 3,646.74

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Solution

The fourth proportional to 5,509.14, 7,604.61 and 3,646.74 is: 5,033.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.14 : 7,604.61 = 3,646.74 : x
  2. Step 2: Convert to fraction form
    5,509.14/7,604.61 = 3,646.74/x
  3. Step 3: Cross multiply
    5,509.14x = 7,604.61 × 3,646.74
  4. Step 4: Simplify right side
    5,509.14x = 27,732,035.47
  5. Step 5: Solve for x
    x = 27,732,035.47/5,509.14
  6. Step 6: Final answer
    x = 5,033.82

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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.