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Finding the Fourth Proportional to 4,705.62, 7,058.43 and 1,418.82

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Solution

The fourth proportional to 4,705.62, 7,058.43 and 1,418.82 is: 2,128.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.62 : 7,058.43 = 1,418.82 : x
  2. Step 2: Convert to fraction form
    4,705.62/7,058.43 = 1,418.82/x
  3. Step 3: Cross multiply
    4,705.62x = 7,058.43 × 1,418.82
  4. Step 4: Simplify right side
    4,705.62x = 10,014,641.65
  5. Step 5: Solve for x
    x = 10,014,641.65/4,705.62
  6. Step 6: Final answer
    x = 2,128.23

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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.