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Finding the Fourth Proportional to 3,805.08, 5,686.32 and 3,594.48

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Solution

The fourth proportional to 3,805.08, 5,686.32 and 3,594.48 is: 5,371.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.08 : 5,686.32 = 3,594.48 : x
  2. Step 2: Convert to fraction form
    3,805.08/5,686.32 = 3,594.48/x
  3. Step 3: Cross multiply
    3,805.08x = 5,686.32 × 3,594.48
  4. Step 4: Simplify right side
    3,805.08x = 20,439,363.51
  5. Step 5: Solve for x
    x = 20,439,363.51/3,805.08
  6. Step 6: Final answer
    x = 5,371.60

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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.