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Finding the Fourth Proportional to 6,299.15, 8,693.12 and 3,646.05

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Solution

The fourth proportional to 6,299.15, 8,693.12 and 3,646.05 is: 5,031.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.15 : 8,693.12 = 3,646.05 : x
  2. Step 2: Convert to fraction form
    6,299.15/8,693.12 = 3,646.05/x
  3. Step 3: Cross multiply
    6,299.15x = 8,693.12 × 3,646.05
  4. Step 4: Simplify right side
    6,299.15x = 31,695,559.29
  5. Step 5: Solve for x
    x = 31,695,559.29/6,299.15
  6. Step 6: Final answer
    x = 5,031.72

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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.