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Finding the Fourth Proportional to 5,730.71, 8,596.74 and 2,033.30

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Solution

The fourth proportional to 5,730.71, 8,596.74 and 2,033.30 is: 3,050.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.71 : 8,596.74 = 2,033.30 : x
  2. Step 2: Convert to fraction form
    5,730.71/8,596.74 = 2,033.30/x
  3. Step 3: Cross multiply
    5,730.71x = 8,596.74 × 2,033.30
  4. Step 4: Simplify right side
    5,730.71x = 17,479,741.28
  5. Step 5: Solve for x
    x = 17,479,741.28/5,730.71
  6. Step 6: Final answer
    x = 3,050.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.