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Finding the Fourth Proportional to 5,407.16, 7,462.14 and 3,169

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Solution

The fourth proportional to 5,407.16, 7,462.14 and 3,169 is: 4,373.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.16 : 7,462.14 = 3,169 : x
  2. Step 2: Convert to fraction form
    5,407.16/7,462.14 = 3,169/x
  3. Step 3: Cross multiply
    5,407.16x = 7,462.14 × 3,169
  4. Step 4: Simplify right side
    5,407.16x = 23,647,521.66
  5. Step 5: Solve for x
    x = 23,647,521.66/5,407.16
  6. Step 6: Final answer
    x = 4,373.37

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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.