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Finding the Fourth Proportional to 4,706.82, 7,058.61 and 1,785.96

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Solution

The fourth proportional to 4,706.82, 7,058.61 and 1,785.96 is: 2,678.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.82 : 7,058.61 = 1,785.96 : x
  2. Step 2: Convert to fraction form
    4,706.82/7,058.61 = 1,785.96/x
  3. Step 3: Cross multiply
    4,706.82x = 7,058.61 × 1,785.96
  4. Step 4: Simplify right side
    4,706.82x = 12,606,395.12
  5. Step 5: Solve for x
    x = 12,606,395.12/4,706.82
  6. Step 6: Final answer
    x = 2,678.33

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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.