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Finding the Fourth Proportional to 4,194.42, 5,764.01 and 4,001.70

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Solution

The fourth proportional to 4,194.42, 5,764.01 and 4,001.70 is: 5,499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.42 : 5,764.01 = 4,001.70 : x
  2. Step 2: Convert to fraction form
    4,194.42/5,764.01 = 4,001.70/x
  3. Step 3: Cross multiply
    4,194.42x = 5,764.01 × 4,001.70
  4. Step 4: Simplify right side
    4,194.42x = 23,065,818.81
  5. Step 5: Solve for x
    x = 23,065,818.81/4,194.42
  6. Step 6: Final answer
    x = 5,499.17

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.