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Finding the Fourth Proportional to 4,705.49, 7,057 and 2,235.39

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Solution

The fourth proportional to 4,705.49, 7,057 and 2,235.39 is: 3,352.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.49 : 7,057 = 2,235.39 : x
  2. Step 2: Convert to fraction form
    4,705.49/7,057 = 2,235.39/x
  3. Step 3: Cross multiply
    4,705.49x = 7,057 × 2,235.39
  4. Step 4: Simplify right side
    4,705.49x = 15,775,147.23
  5. Step 5: Solve for x
    x = 15,775,147.23/4,705.49
  6. Step 6: Final answer
    x = 3,352.50

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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.