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Finding the Fourth Proportional to 4,495.65, 6,189.88 and 3,822.13

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Solution

The fourth proportional to 4,495.65, 6,189.88 and 3,822.13 is: 5,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,495.65 : 6,189.88 = 3,822.13 : x
  2. Step 2: Convert to fraction form
    4,495.65/6,189.88 = 3,822.13/x
  3. Step 3: Cross multiply
    4,495.65x = 6,189.88 × 3,822.13
  4. Step 4: Simplify right side
    4,495.65x = 23,658,506.93
  5. Step 5: Solve for x
    x = 23,658,506.93/4,495.65
  6. Step 6: Final answer
    x = 5,262.53

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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.