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Finding the Fourth Proportional to 4,712.93, 7,069.40 and 1,202.94

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Solution

The fourth proportional to 4,712.93, 7,069.40 and 1,202.94 is: 1,804.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.93 : 7,069.40 = 1,202.94 : x
  2. Step 2: Convert to fraction form
    4,712.93/7,069.40 = 1,202.94/x
  3. Step 3: Cross multiply
    4,712.93x = 7,069.40 × 1,202.94
  4. Step 4: Simplify right side
    4,712.93x = 8,504,058.02
  5. Step 5: Solve for x
    x = 8,504,058.02/4,712.93
  6. Step 6: Final answer
    x = 1,804.41

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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.