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Finding the Fourth Proportional to 4,200.04, 6,291.42 and 3,992.68

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Solution

The fourth proportional to 4,200.04, 6,291.42 and 3,992.68 is: 5,980.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.04 : 6,291.42 = 3,992.68 : x
  2. Step 2: Convert to fraction form
    4,200.04/6,291.42 = 3,992.68/x
  3. Step 3: Cross multiply
    4,200.04x = 6,291.42 × 3,992.68
  4. Step 4: Simplify right side
    4,200.04x = 25,119,626.81
  5. Step 5: Solve for x
    x = 25,119,626.81/4,200.04
  6. Step 6: Final answer
    x = 5,980.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.