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Finding the Fourth Proportional to 6,031.64, 8,322.30 and 3,513.20

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Solution

The fourth proportional to 6,031.64, 8,322.30 and 3,513.20 is: 4,847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.64 : 8,322.30 = 3,513.20 : x
  2. Step 2: Convert to fraction form
    6,031.64/8,322.30 = 3,513.20/x
  3. Step 3: Cross multiply
    6,031.64x = 8,322.30 × 3,513.20
  4. Step 4: Simplify right side
    6,031.64x = 29,237,904.36
  5. Step 5: Solve for x
    x = 29,237,904.36/6,031.64
  6. Step 6: Final answer
    x = 4,847.42

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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.