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Finding the Fourth Proportional to 5,723.88, 7,898.22 and 3,365.16

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Solution

The fourth proportional to 5,723.88, 7,898.22 and 3,365.16 is: 4,643.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.88 : 7,898.22 = 3,365.16 : x
  2. Step 2: Convert to fraction form
    5,723.88/7,898.22 = 3,365.16/x
  3. Step 3: Cross multiply
    5,723.88x = 7,898.22 × 3,365.16
  4. Step 4: Simplify right side
    5,723.88x = 26,578,774.02
  5. Step 5: Solve for x
    x = 26,578,774.02/5,723.88
  6. Step 6: Final answer
    x = 4,643.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.