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Finding the Fourth Proportional to 4,154.74, 5,721.87 and 4,064.02

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Solution

The fourth proportional to 4,154.74, 5,721.87 and 4,064.02 is: 5,596.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.74 : 5,721.87 = 4,064.02 : x
  2. Step 2: Convert to fraction form
    4,154.74/5,721.87 = 4,064.02/x
  3. Step 3: Cross multiply
    4,154.74x = 5,721.87 × 4,064.02
  4. Step 4: Simplify right side
    4,154.74x = 23,253,795.05
  5. Step 5: Solve for x
    x = 23,253,795.05/4,154.74
  6. Step 6: Final answer
    x = 5,596.93

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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.