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Finding the Fourth Proportional to 4,585, 6,328.74 and 3,092.44

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Solution

The fourth proportional to 4,585, 6,328.74 and 3,092.44 is: 4,268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585 : 6,328.74 = 3,092.44 : x
  2. Step 2: Convert to fraction form
    4,585/6,328.74 = 3,092.44/x
  3. Step 3: Cross multiply
    4,585x = 6,328.74 × 3,092.44
  4. Step 4: Simplify right side
    4,585x = 19,571,248.73
  5. Step 5: Solve for x
    x = 19,571,248.73/4,585
  6. Step 6: Final answer
    x = 4,268.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.