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Finding the Fourth Proportional to 5,258.68, 7,256.99 and 3,020.70

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Solution

The fourth proportional to 5,258.68, 7,256.99 and 3,020.70 is: 4,168.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.68 : 7,256.99 = 3,020.70 : x
  2. Step 2: Convert to fraction form
    5,258.68/7,256.99 = 3,020.70/x
  3. Step 3: Cross multiply
    5,258.68x = 7,256.99 × 3,020.70
  4. Step 4: Simplify right side
    5,258.68x = 21,921,174.59
  5. Step 5: Solve for x
    x = 21,921,174.59/5,258.68
  6. Step 6: Final answer
    x = 4,168.57

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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.