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Finding the Fourth Proportional to 4,421.48, 6,107.82 and 4,188.20

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Solution

The fourth proportional to 4,421.48, 6,107.82 and 4,188.20 is: 5,785.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,421.48 : 6,107.82 = 4,188.20 : x
  2. Step 2: Convert to fraction form
    4,421.48/6,107.82 = 4,188.20/x
  3. Step 3: Cross multiply
    4,421.48x = 6,107.82 × 4,188.20
  4. Step 4: Simplify right side
    4,421.48x = 25,580,771.72
  5. Step 5: Solve for x
    x = 25,580,771.72/4,421.48
  6. Step 6: Final answer
    x = 5,785.57

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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.