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Finding the Fourth Proportional to 5,378.76, 7,424.18 and 3,785.76

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Solution

The fourth proportional to 5,378.76, 7,424.18 and 3,785.76 is: 5,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.76 : 7,424.18 = 3,785.76 : x
  2. Step 2: Convert to fraction form
    5,378.76/7,424.18 = 3,785.76/x
  3. Step 3: Cross multiply
    5,378.76x = 7,424.18 × 3,785.76
  4. Step 4: Simplify right side
    5,378.76x = 28,106,144.75
  5. Step 5: Solve for x
    x = 28,106,144.75/5,378.76
  6. Step 6: Final answer
    x = 5,225.39

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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.