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Finding the Fourth Proportional to 3,506.46, 5,260.50 and 1,166.46

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Solution

The fourth proportional to 3,506.46, 5,260.50 and 1,166.46 is: 1,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.46 : 5,260.50 = 1,166.46 : x
  2. Step 2: Convert to fraction form
    3,506.46/5,260.50 = 1,166.46/x
  3. Step 3: Cross multiply
    3,506.46x = 5,260.50 × 1,166.46
  4. Step 4: Simplify right side
    3,506.46x = 6,136,162.83
  5. Step 5: Solve for x
    x = 6,136,162.83/3,506.46
  6. Step 6: Final answer
    x = 1,749.96

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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.