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Finding the Fourth Proportional to 5,133.99, 7,699.10 and 1,846.20

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Solution

The fourth proportional to 5,133.99, 7,699.10 and 1,846.20 is: 2,768.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.99 : 7,699.10 = 1,846.20 : x
  2. Step 2: Convert to fraction form
    5,133.99/7,699.10 = 1,846.20/x
  3. Step 3: Cross multiply
    5,133.99x = 7,699.10 × 1,846.20
  4. Step 4: Simplify right side
    5,133.99x = 14,214,069.19
  5. Step 5: Solve for x
    x = 14,214,069.19/5,133.99
  6. Step 6: Final answer
    x = 2,768.62

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1.5x scale

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.