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Finding the Fourth Proportional to 6,415.65, 8,853.99 and 3,583.02

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Solution

The fourth proportional to 6,415.65, 8,853.99 and 3,583.02 is: 4,944.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.65 : 8,853.99 = 3,583.02 : x
  2. Step 2: Convert to fraction form
    6,415.65/8,853.99 = 3,583.02/x
  3. Step 3: Cross multiply
    6,415.65x = 8,853.99 × 3,583.02
  4. Step 4: Simplify right side
    6,415.65x = 31,724,023.25
  5. Step 5: Solve for x
    x = 31,724,023.25/6,415.65
  6. Step 6: Final answer
    x = 4,944.79

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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.