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Finding the Fourth Proportional to 6,004.94, 8,290.62 and 4,119.68

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Solution

The fourth proportional to 6,004.94, 8,290.62 and 4,119.68 is: 5,687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,004.94 : 8,290.62 = 4,119.68 : x
  2. Step 2: Convert to fraction form
    6,004.94/8,290.62 = 4,119.68/x
  3. Step 3: Cross multiply
    6,004.94x = 8,290.62 × 4,119.68
  4. Step 4: Simplify right side
    6,004.94x = 34,154,701.40
  5. Step 5: Solve for x
    x = 34,154,701.40/6,004.94
  6. Step 6: Final answer
    x = 5,687.77

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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.