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Finding the Fourth Proportional to 5,775.36, 7,970.28 and 3,257.28

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Solution

The fourth proportional to 5,775.36, 7,970.28 and 3,257.28 is: 4,495.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.36 : 7,970.28 = 3,257.28 : x
  2. Step 2: Convert to fraction form
    5,775.36/7,970.28 = 3,257.28/x
  3. Step 3: Cross multiply
    5,775.36x = 7,970.28 × 3,257.28
  4. Step 4: Simplify right side
    5,775.36x = 25,961,433.64
  5. Step 5: Solve for x
    x = 25,961,433.64/5,775.36
  6. Step 6: Final answer
    x = 4,495.21

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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.