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Finding the Fourth Proportional to 3,258.68, 4,888.01 and 793.50

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Solution

The fourth proportional to 3,258.68, 4,888.01 and 793.50 is: 1,190.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.68 : 4,888.01 = 793.50 : x
  2. Step 2: Convert to fraction form
    3,258.68/4,888.01 = 793.50/x
  3. Step 3: Cross multiply
    3,258.68x = 4,888.01 × 793.50
  4. Step 4: Simplify right side
    3,258.68x = 3,878,635.94
  5. Step 5: Solve for x
    x = 3,878,635.94/3,258.68
  6. Step 6: Final answer
    x = 1,190.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.