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Finding the Fourth Proportional to 5,567.64, 7,679.04 and 3,578.40

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Solution

The fourth proportional to 5,567.64, 7,679.04 and 3,578.40 is: 4,935.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.64 : 7,679.04 = 3,578.40 : x
  2. Step 2: Convert to fraction form
    5,567.64/7,679.04 = 3,578.40/x
  3. Step 3: Cross multiply
    5,567.64x = 7,679.04 × 3,578.40
  4. Step 4: Simplify right side
    5,567.64x = 27,478,676.74
  5. Step 5: Solve for x
    x = 27,478,676.74/5,567.64
  6. Step 6: Final answer
    x = 4,935.43

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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.