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Finding the Fourth Proportional to 6,152.20, 8,490.04 and 3,795.71

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Solution

The fourth proportional to 6,152.20, 8,490.04 and 3,795.71 is: 5,238.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.20 : 8,490.04 = 3,795.71 : x
  2. Step 2: Convert to fraction form
    6,152.20/8,490.04 = 3,795.71/x
  3. Step 3: Cross multiply
    6,152.20x = 8,490.04 × 3,795.71
  4. Step 4: Simplify right side
    6,152.20x = 32,225,736.22
  5. Step 5: Solve for x
    x = 32,225,736.22/6,152.20
  6. Step 6: Final answer
    x = 5,238.08

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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.