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Finding the Fourth Proportional to 4,609.58, 6,914.36 and 1,146.83

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Solution

The fourth proportional to 4,609.58, 6,914.36 and 1,146.83 is: 1,720.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.58 : 6,914.36 = 1,146.83 : x
  2. Step 2: Convert to fraction form
    4,609.58/6,914.36 = 1,146.83/x
  3. Step 3: Cross multiply
    4,609.58x = 6,914.36 × 1,146.83
  4. Step 4: Simplify right side
    4,609.58x = 7,929,555.17
  5. Step 5: Solve for x
    x = 7,929,555.17/4,609.58
  6. Step 6: Final answer
    x = 1,720.24

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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.