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Finding the Fourth Proportional to 5,398.32, 7,444.74 and 3,405.42

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Solution

The fourth proportional to 5,398.32, 7,444.74 and 3,405.42 is: 4,696.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.32 : 7,444.74 = 3,405.42 : x
  2. Step 2: Convert to fraction form
    5,398.32/7,444.74 = 3,405.42/x
  3. Step 3: Cross multiply
    5,398.32x = 7,444.74 × 3,405.42
  4. Step 4: Simplify right side
    5,398.32x = 25,352,466.49
  5. Step 5: Solve for x
    x = 25,352,466.49/5,398.32
  6. Step 6: Final answer
    x = 4,696.36

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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.