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Finding the Fourth Proportional to 5,800.16, 8,003.68 and 3,282.50

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Solution

The fourth proportional to 5,800.16, 8,003.68 and 3,282.50 is: 4,529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800.16 : 8,003.68 = 3,282.50 : x
  2. Step 2: Convert to fraction form
    5,800.16/8,003.68 = 3,282.50/x
  3. Step 3: Cross multiply
    5,800.16x = 8,003.68 × 3,282.50
  4. Step 4: Simplify right side
    5,800.16x = 26,272,079.60
  5. Step 5: Solve for x
    x = 26,272,079.60/5,800.16
  6. Step 6: Final answer
    x = 4,529.54

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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.