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Finding the Fourth Proportional to 5,802.20, 8,005.19 and 3,411.41

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Solution

The fourth proportional to 5,802.20, 8,005.19 and 3,411.41 is: 4,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.20 : 8,005.19 = 3,411.41 : x
  2. Step 2: Convert to fraction form
    5,802.20/8,005.19 = 3,411.41/x
  3. Step 3: Cross multiply
    5,802.20x = 8,005.19 × 3,411.41
  4. Step 4: Simplify right side
    5,802.20x = 27,308,928.13
  5. Step 5: Solve for x
    x = 27,308,928.13/5,802.20
  6. Step 6: Final answer
    x = 4,706.65

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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.