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Finding the Fourth Proportional to 4,178.61, 6,268.50 and 1,404.66

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Solution

The fourth proportional to 4,178.61, 6,268.50 and 1,404.66 is: 2,107.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.61 : 6,268.50 = 1,404.66 : x
  2. Step 2: Convert to fraction form
    4,178.61/6,268.50 = 1,404.66/x
  3. Step 3: Cross multiply
    4,178.61x = 6,268.50 × 1,404.66
  4. Step 4: Simplify right side
    4,178.61x = 8,805,111.21
  5. Step 5: Solve for x
    x = 8,805,111.21/4,178.61
  6. Step 6: Final answer
    x = 2,107.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.