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Finding the Fourth Proportional to 3,342.93, 5,015.40 and 1,002.96

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Solution

The fourth proportional to 3,342.93, 5,015.40 and 1,002.96 is: 1,504.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.93 : 5,015.40 = 1,002.96 : x
  2. Step 2: Convert to fraction form
    3,342.93/5,015.40 = 1,002.96/x
  3. Step 3: Cross multiply
    3,342.93x = 5,015.40 × 1,002.96
  4. Step 4: Simplify right side
    3,342.93x = 5,030,245.58
  5. Step 5: Solve for x
    x = 5,030,245.58/3,342.93
  6. Step 6: Final answer
    x = 1,504.74

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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.