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Finding the Fourth Proportional to 5,802.12, 8,005.02 and 3,283.98

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Solution

The fourth proportional to 5,802.12, 8,005.02 and 3,283.98 is: 4,530.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.12 : 8,005.02 = 3,283.98 : x
  2. Step 2: Convert to fraction form
    5,802.12/8,005.02 = 3,283.98/x
  3. Step 3: Cross multiply
    5,802.12x = 8,005.02 × 3,283.98
  4. Step 4: Simplify right side
    5,802.12x = 26,288,325.58
  5. Step 5: Solve for x
    x = 26,288,325.58/5,802.12
  6. Step 6: Final answer
    x = 4,530.81

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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.