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Finding the Fourth Proportional to 5,775.92, 7,970.61 and 3,258.02

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Solution

The fourth proportional to 5,775.92, 7,970.61 and 3,258.02 is: 4,495.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.92 : 7,970.61 = 3,258.02 : x
  2. Step 2: Convert to fraction form
    5,775.92/7,970.61 = 3,258.02/x
  3. Step 3: Cross multiply
    5,775.92x = 7,970.61 × 3,258.02
  4. Step 4: Simplify right side
    5,775.92x = 25,968,366.94
  5. Step 5: Solve for x
    x = 25,968,366.94/5,775.92
  6. Step 6: Final answer
    x = 4,495.97

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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.