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Finding the Fourth Proportional to 3,311.84, 4,967.59 and 846.58

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Solution

The fourth proportional to 3,311.84, 4,967.59 and 846.58 is: 1,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.84 : 4,967.59 = 846.58 : x
  2. Step 2: Convert to fraction form
    3,311.84/4,967.59 = 846.58/x
  3. Step 3: Cross multiply
    3,311.84x = 4,967.59 × 846.58
  4. Step 4: Simplify right side
    3,311.84x = 4,205,462.34
  5. Step 5: Solve for x
    x = 4,205,462.34/3,311.84
  6. Step 6: Final answer
    x = 1,269.83

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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.