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Finding the Fourth Proportional to 5,258.94, 7,258.56 and 3,021.98

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Solution

The fourth proportional to 5,258.94, 7,258.56 and 3,021.98 is: 4,171.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.94 : 7,258.56 = 3,021.98 : x
  2. Step 2: Convert to fraction form
    5,258.94/7,258.56 = 3,021.98/x
  3. Step 3: Cross multiply
    5,258.94x = 7,258.56 × 3,021.98
  4. Step 4: Simplify right side
    5,258.94x = 21,935,223.15
  5. Step 5: Solve for x
    x = 21,935,223.15/5,258.94
  6. Step 6: Final answer
    x = 4,171.04

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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.