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Finding the Fourth Proportional to 5,690.88, 7,857.28 and 3,567.28

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Solution

The fourth proportional to 5,690.88, 7,857.28 and 3,567.28 is: 4,925.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.88 : 7,857.28 = 3,567.28 : x
  2. Step 2: Convert to fraction form
    5,690.88/7,857.28 = 3,567.28/x
  3. Step 3: Cross multiply
    5,690.88x = 7,857.28 × 3,567.28
  4. Step 4: Simplify right side
    5,690.88x = 28,029,117.80
  5. Step 5: Solve for x
    x = 28,029,117.80/5,690.88
  6. Step 6: Final answer
    x = 4,925.27

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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.