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Finding the Fourth Proportional to 5,564.64, 7,675.56 and 3,467.28

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Solution

The fourth proportional to 5,564.64, 7,675.56 and 3,467.28 is: 4,782.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.64 : 7,675.56 = 3,467.28 : x
  2. Step 2: Convert to fraction form
    5,564.64/7,675.56 = 3,467.28/x
  3. Step 3: Cross multiply
    5,564.64x = 7,675.56 × 3,467.28
  4. Step 4: Simplify right side
    5,564.64x = 26,613,315.68
  5. Step 5: Solve for x
    x = 26,613,315.68/5,564.64
  6. Step 6: Final answer
    x = 4,782.58

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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.