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Finding the Fourth Proportional to 3,482.69, 5,224.17 and 885.69

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Solution

The fourth proportional to 3,482.69, 5,224.17 and 885.69 is: 1,328.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.69 : 5,224.17 = 885.69 : x
  2. Step 2: Convert to fraction form
    3,482.69/5,224.17 = 885.69/x
  3. Step 3: Cross multiply
    3,482.69x = 5,224.17 × 885.69
  4. Step 4: Simplify right side
    3,482.69x = 4,626,995.13
  5. Step 5: Solve for x
    x = 4,626,995.13/3,482.69
  6. Step 6: Final answer
    x = 1,328.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.