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Finding the Fourth Proportional to 3,730.77, 5,567.25 and 3,316.59

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Solution

The fourth proportional to 3,730.77, 5,567.25 and 3,316.59 is: 4,949.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.77 : 5,567.25 = 3,316.59 : x
  2. Step 2: Convert to fraction form
    3,730.77/5,567.25 = 3,316.59/x
  3. Step 3: Cross multiply
    3,730.77x = 5,567.25 × 3,316.59
  4. Step 4: Simplify right side
    3,730.77x = 18,464,285.68
  5. Step 5: Solve for x
    x = 18,464,285.68/3,730.77
  6. Step 6: Final answer
    x = 4,949.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.