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Finding the Fourth Proportional to 5,731.79, 7,903.85 and 4,242.60

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Solution

The fourth proportional to 5,731.79, 7,903.85 and 4,242.60 is: 5,850.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.79 : 7,903.85 = 4,242.60 : x
  2. Step 2: Convert to fraction form
    5,731.79/7,903.85 = 4,242.60/x
  3. Step 3: Cross multiply
    5,731.79x = 7,903.85 × 4,242.60
  4. Step 4: Simplify right side
    5,731.79x = 33,532,852.80
  5. Step 5: Solve for x
    x = 33,532,852.80/5,731.79
  6. Step 6: Final answer
    x = 5,850.33

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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.