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Finding the Fourth Proportional to 6,031.68, 8,322.12 and 3,673.68

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Solution

The fourth proportional to 6,031.68, 8,322.12 and 3,673.68 is: 5,068.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.68 : 8,322.12 = 3,673.68 : x
  2. Step 2: Convert to fraction form
    6,031.68/8,322.12 = 3,673.68/x
  3. Step 3: Cross multiply
    6,031.68x = 8,322.12 × 3,673.68
  4. Step 4: Simplify right side
    6,031.68x = 30,572,805.80
  5. Step 5: Solve for x
    x = 30,572,805.80/6,031.68
  6. Step 6: Final answer
    x = 5,068.70

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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.