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Finding the Fourth Proportional to 4,194.77, 6,291.18 and 1,853.50

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Solution

The fourth proportional to 4,194.77, 6,291.18 and 1,853.50 is: 2,779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.77 : 6,291.18 = 1,853.50 : x
  2. Step 2: Convert to fraction form
    4,194.77/6,291.18 = 1,853.50/x
  3. Step 3: Cross multiply
    4,194.77x = 6,291.18 × 1,853.50
  4. Step 4: Simplify right side
    4,194.77x = 11,660,705.15
  5. Step 5: Solve for x
    x = 11,660,705.15/4,194.77
  6. Step 6: Final answer
    x = 2,779.82

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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.