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Finding the Fourth Proportional to 5,802.14, 8,005.01 and 3,283.98

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Solution

The fourth proportional to 5,802.14, 8,005.01 and 3,283.98 is: 4,530.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.14 : 8,005.01 = 3,283.98 : x
  2. Step 2: Convert to fraction form
    5,802.14/8,005.01 = 3,283.98/x
  3. Step 3: Cross multiply
    5,802.14x = 8,005.01 × 3,283.98
  4. Step 4: Simplify right side
    5,802.14x = 26,288,276.32
  5. Step 5: Solve for x
    x = 26,288,276.32/5,802.14
  6. Step 6: Final answer
    x = 4,530.79

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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.