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Finding the Fourth Proportional to 5,133.66, 7,071.93 and 4,469.34

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Solution

The fourth proportional to 5,133.66, 7,071.93 and 4,469.34 is: 6,156.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.66 : 7,071.93 = 4,469.34 : x
  2. Step 2: Convert to fraction form
    5,133.66/7,071.93 = 4,469.34/x
  3. Step 3: Cross multiply
    5,133.66x = 7,071.93 × 4,469.34
  4. Step 4: Simplify right side
    5,133.66x = 31,606,859.63
  5. Step 5: Solve for x
    x = 31,606,859.63/5,133.66
  6. Step 6: Final answer
    x = 6,156.79

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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.