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Finding the Fourth Proportional to 5,853.60, 8,074.08 and 4,419.36

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Solution

The fourth proportional to 5,853.60, 8,074.08 and 4,419.36 is: 6,095.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.60 : 8,074.08 = 4,419.36 : x
  2. Step 2: Convert to fraction form
    5,853.60/8,074.08 = 4,419.36/x
  3. Step 3: Cross multiply
    5,853.60x = 8,074.08 × 4,419.36
  4. Step 4: Simplify right side
    5,853.60x = 35,682,266.19
  5. Step 5: Solve for x
    x = 35,682,266.19/5,853.60
  6. Step 6: Final answer
    x = 6,095.78

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