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Finding the Fourth Proportional to 4,704.35, 7,058.06 and 1,584.65

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Solution

The fourth proportional to 4,704.35, 7,058.06 and 1,584.65 is: 2,377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.35 : 7,058.06 = 1,584.65 : x
  2. Step 2: Convert to fraction form
    4,704.35/7,058.06 = 1,584.65/x
  3. Step 3: Cross multiply
    4,704.35x = 7,058.06 × 1,584.65
  4. Step 4: Simplify right side
    4,704.35x = 11,184,511.57
  5. Step 5: Solve for x
    x = 11,184,511.57/4,704.35
  6. Step 6: Final answer
    x = 2,377.49

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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.