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Finding the Fourth Proportional to 5,829.68, 8,045.24 and 3,311.66

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Solution

The fourth proportional to 5,829.68, 8,045.24 and 3,311.66 is: 4,570.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.68 : 8,045.24 = 3,311.66 : x
  2. Step 2: Convert to fraction form
    5,829.68/8,045.24 = 3,311.66/x
  3. Step 3: Cross multiply
    5,829.68x = 8,045.24 × 3,311.66
  4. Step 4: Simplify right side
    5,829.68x = 26,643,042.71
  5. Step 5: Solve for x
    x = 26,643,042.71/5,829.68
  6. Step 6: Final answer
    x = 4,570.24

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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.