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Finding the Fourth Proportional to 5,389.86, 7,437.54 and 3,031.68

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Solution

The fourth proportional to 5,389.86, 7,437.54 and 3,031.68 is: 4,183.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.86 : 7,437.54 = 3,031.68 : x
  2. Step 2: Convert to fraction form
    5,389.86/7,437.54 = 3,031.68/x
  3. Step 3: Cross multiply
    5,389.86x = 7,437.54 × 3,031.68
  4. Step 4: Simplify right side
    5,389.86x = 22,548,241.27
  5. Step 5: Solve for x
    x = 22,548,241.27/5,389.86
  6. Step 6: Final answer
    x = 4,183.46

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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.