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Finding the Fourth Proportional to 5,133.66, 7,699.65 and 1,846.14

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Solution

The fourth proportional to 5,133.66, 7,699.65 and 1,846.14 is: 2,768.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.66 : 7,699.65 = 1,846.14 : x
  2. Step 2: Convert to fraction form
    5,133.66/7,699.65 = 1,846.14/x
  3. Step 3: Cross multiply
    5,133.66x = 7,699.65 × 1,846.14
  4. Step 4: Simplify right side
    5,133.66x = 14,214,631.85
  5. Step 5: Solve for x
    x = 14,214,631.85/5,133.66
  6. Step 6: Final answer
    x = 2,768.91

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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.