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Finding the Fourth Proportional to 5,643.54, 8,466.75 and 3,578.22

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Solution

The fourth proportional to 5,643.54, 8,466.75 and 3,578.22 is: 5,368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.54 : 8,466.75 = 3,578.22 : x
  2. Step 2: Convert to fraction form
    5,643.54/8,466.75 = 3,578.22/x
  3. Step 3: Cross multiply
    5,643.54x = 8,466.75 × 3,578.22
  4. Step 4: Simplify right side
    5,643.54x = 30,295,894.19
  5. Step 5: Solve for x
    x = 30,295,894.19/5,643.54
  6. Step 6: Final answer
    x = 5,368.24

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Why These Related Problems?

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