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Finding the Fourth Proportional to 4,194.60, 6,259.09 and 4,165.80

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Solution

The fourth proportional to 4,194.60, 6,259.09 and 4,165.80 is: 6,216.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.60 : 6,259.09 = 4,165.80 : x
  2. Step 2: Convert to fraction form
    4,194.60/6,259.09 = 4,165.80/x
  3. Step 3: Cross multiply
    4,194.60x = 6,259.09 × 4,165.80
  4. Step 4: Simplify right side
    4,194.60x = 26,074,117.12
  5. Step 5: Solve for x
    x = 26,074,117.12/4,194.60
  6. Step 6: Final answer
    x = 6,216.12

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