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Finding the Fourth Proportional to 5,802.28, 8,005.98 and 3,678.64

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Solution

The fourth proportional to 5,802.28, 8,005.98 and 3,678.64 is: 5,075.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.28 : 8,005.98 = 3,678.64 : x
  2. Step 2: Convert to fraction form
    5,802.28/8,005.98 = 3,678.64/x
  3. Step 3: Cross multiply
    5,802.28x = 8,005.98 × 3,678.64
  4. Step 4: Simplify right side
    5,802.28x = 29,451,118.27
  5. Step 5: Solve for x
    x = 29,451,118.27/5,802.28
  6. Step 6: Final answer
    x = 5,075.78

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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.