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Finding the Fourth Proportional to 4,154.67, 6,188.25 and 4,068.16

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Solution

The fourth proportional to 4,154.67, 6,188.25 and 4,068.16 is: 6,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.67 : 6,188.25 = 4,068.16 : x
  2. Step 2: Convert to fraction form
    4,154.67/6,188.25 = 4,068.16/x
  3. Step 3: Cross multiply
    4,154.67x = 6,188.25 × 4,068.16
  4. Step 4: Simplify right side
    4,154.67x = 25,174,775.65
  5. Step 5: Solve for x
    x = 25,174,775.65/4,154.67
  6. Step 6: Final answer
    x = 6,059.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.