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Finding the Fourth Proportional to 5,563, 7,675.71 and 3,324.53

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Solution

The fourth proportional to 5,563, 7,675.71 and 3,324.53 is: 4,587.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563 : 7,675.71 = 3,324.53 : x
  2. Step 2: Convert to fraction form
    5,563/7,675.71 = 3,324.53/x
  3. Step 3: Cross multiply
    5,563x = 7,675.71 × 3,324.53
  4. Step 4: Simplify right side
    5,563x = 25,518,128.17
  5. Step 5: Solve for x
    x = 25,518,128.17/5,563
  6. Step 6: Final answer
    x = 4,587.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.