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Finding the Fourth Proportional to 5,136.84, 7,699.19 and 4,546.35

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Solution

The fourth proportional to 5,136.84, 7,699.19 and 4,546.35 is: 6,814.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.84 : 7,699.19 = 4,546.35 : x
  2. Step 2: Convert to fraction form
    5,136.84/7,699.19 = 4,546.35/x
  3. Step 3: Cross multiply
    5,136.84x = 7,699.19 × 4,546.35
  4. Step 4: Simplify right side
    5,136.84x = 35,003,189.72
  5. Step 5: Solve for x
    x = 35,003,189.72/5,136.84
  6. Step 6: Final answer
    x = 6,814.15

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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.