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Finding the Fourth Proportional to 6,071.32, 8,378.84 and 3,382.74

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Solution

The fourth proportional to 6,071.32, 8,378.84 and 3,382.74 is: 4,668.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.32 : 8,378.84 = 3,382.74 : x
  2. Step 2: Convert to fraction form
    6,071.32/8,378.84 = 3,382.74/x
  3. Step 3: Cross multiply
    6,071.32x = 8,378.84 × 3,382.74
  4. Step 4: Simplify right side
    6,071.32x = 28,343,437.22
  5. Step 5: Solve for x
    x = 28,343,437.22/6,071.32
  6. Step 6: Final answer
    x = 4,668.41

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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.