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Finding the Fourth Proportional to 6,031.65, 8,322.10 and 3,478.79

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Solution

The fourth proportional to 6,031.65, 8,322.10 and 3,478.79 is: 4,799.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.65 : 8,322.10 = 3,478.79 : x
  2. Step 2: Convert to fraction form
    6,031.65/8,322.10 = 3,478.79/x
  3. Step 3: Cross multiply
    6,031.65x = 8,322.10 × 3,478.79
  4. Step 4: Simplify right side
    6,031.65x = 28,950,838.26
  5. Step 5: Solve for x
    x = 28,950,838.26/6,031.65
  6. Step 6: Final answer
    x = 4,799.82

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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.