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Finding the Fourth Proportional to 5,829.80, 8,045.32 and 3,311.88

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Solution

The fourth proportional to 5,829.80, 8,045.32 and 3,311.88 is: 4,570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.80 : 8,045.32 = 3,311.88 : x
  2. Step 2: Convert to fraction form
    5,829.80/8,045.32 = 3,311.88/x
  3. Step 3: Cross multiply
    5,829.80x = 8,045.32 × 3,311.88
  4. Step 4: Simplify right side
    5,829.80x = 26,645,134.40
  5. Step 5: Solve for x
    x = 26,645,134.40/5,829.80
  6. Step 6: Final answer
    x = 4,570.51

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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.