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Finding the Fourth Proportional to 5,889.47, 8,123.60 and 3,765.65

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Solution

The fourth proportional to 5,889.47, 8,123.60 and 3,765.65 is: 5,194.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.47 : 8,123.60 = 3,765.65 : x
  2. Step 2: Convert to fraction form
    5,889.47/8,123.60 = 3,765.65/x
  3. Step 3: Cross multiply
    5,889.47x = 8,123.60 × 3,765.65
  4. Step 4: Simplify right side
    5,889.47x = 30,590,574.89
  5. Step 5: Solve for x
    x = 30,590,574.89/5,889.47
  6. Step 6: Final answer
    x = 5,194.12

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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.