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Finding the Fourth Proportional to 6,072.64, 8,384.10 and 4,399.58

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Solution

The fourth proportional to 6,072.64, 8,384.10 and 4,399.58 is: 6,074.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.64 : 8,384.10 = 4,399.58 : x
  2. Step 2: Convert to fraction form
    6,072.64/8,384.10 = 4,399.58/x
  3. Step 3: Cross multiply
    6,072.64x = 8,384.10 × 4,399.58
  4. Step 4: Simplify right side
    6,072.64x = 36,886,518.68
  5. Step 5: Solve for x
    x = 36,886,518.68/6,072.64
  6. Step 6: Final answer
    x = 6,074.21

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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.