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Finding the Fourth Proportional to 5,763.05, 7,954.01 and 4,258.43

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Solution

The fourth proportional to 5,763.05, 7,954.01 and 4,258.43 is: 5,877.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.05 : 7,954.01 = 4,258.43 : x
  2. Step 2: Convert to fraction form
    5,763.05/7,954.01 = 4,258.43/x
  3. Step 3: Cross multiply
    5,763.05x = 7,954.01 × 4,258.43
  4. Step 4: Simplify right side
    5,763.05x = 33,871,533.74
  5. Step 5: Solve for x
    x = 33,871,533.74/5,763.05
  6. Step 6: Final answer
    x = 5,877.37

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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.