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Finding the Fourth Proportional to 6,184.19, 8,537.19 and 4,168.10

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Solution

The fourth proportional to 6,184.19, 8,537.19 and 4,168.10 is: 5,754.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.19 : 8,537.19 = 4,168.10 : x
  2. Step 2: Convert to fraction form
    6,184.19/8,537.19 = 4,168.10/x
  3. Step 3: Cross multiply
    6,184.19x = 8,537.19 × 4,168.10
  4. Step 4: Simplify right side
    6,184.19x = 35,583,861.64
  5. Step 5: Solve for x
    x = 35,583,861.64/6,184.19
  6. Step 6: Final answer
    x = 5,754.01

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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.