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Finding the Fourth Proportional to 5,802.41, 8,006.79 and 3,284.75

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Solution

The fourth proportional to 5,802.41, 8,006.79 and 3,284.75 is: 4,532.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.41 : 8,006.79 = 3,284.75 : x
  2. Step 2: Convert to fraction form
    5,802.41/8,006.79 = 3,284.75/x
  3. Step 3: Cross multiply
    5,802.41x = 8,006.79 × 3,284.75
  4. Step 4: Simplify right side
    5,802.41x = 26,300,263.42
  5. Step 5: Solve for x
    x = 26,300,263.42/5,802.41
  6. Step 6: Final answer
    x = 4,532.65

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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.