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Finding the Fourth Proportional to 5,945.81, 8,207.93 and 4,458.65

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Solution

The fourth proportional to 5,945.81, 8,207.93 and 4,458.65 is: 6,154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.81 : 8,207.93 = 4,458.65 : x
  2. Step 2: Convert to fraction form
    5,945.81/8,207.93 = 4,458.65/x
  3. Step 3: Cross multiply
    5,945.81x = 8,207.93 × 4,458.65
  4. Step 4: Simplify right side
    5,945.81x = 36,596,257.20
  5. Step 5: Solve for x
    x = 36,596,257.20/5,945.81
  6. Step 6: Final answer
    x = 6,154.97

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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.