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Finding the Fourth Proportional to 5,357.35, 7,389.92 and 3,540.38

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Solution

The fourth proportional to 5,357.35, 7,389.92 and 3,540.38 is: 4,883.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.35 : 7,389.92 = 3,540.38 : x
  2. Step 2: Convert to fraction form
    5,357.35/7,389.92 = 3,540.38/x
  3. Step 3: Cross multiply
    5,357.35x = 7,389.92 × 3,540.38
  4. Step 4: Simplify right side
    5,357.35x = 26,163,154.24
  5. Step 5: Solve for x
    x = 26,163,154.24/5,357.35
  6. Step 6: Final answer
    x = 4,883.60

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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.