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Finding the Fourth Proportional to 5,378.92, 7,423.24 and 3,021.06

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Solution

The fourth proportional to 5,378.92, 7,423.24 and 3,021.06 is: 4,169.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.92 : 7,423.24 = 3,021.06 : x
  2. Step 2: Convert to fraction form
    5,378.92/7,423.24 = 3,021.06/x
  3. Step 3: Cross multiply
    5,378.92x = 7,423.24 × 3,021.06
  4. Step 4: Simplify right side
    5,378.92x = 22,426,079.55
  5. Step 5: Solve for x
    x = 22,426,079.55/5,378.92
  6. Step 6: Final answer
    x = 4,169.25

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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.