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Finding the Fourth Proportional to 5,133.80, 7,696.08 and 1,846.12

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Solution

The fourth proportional to 5,133.80, 7,696.08 and 1,846.12 is: 2,767.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.80 : 7,696.08 = 1,846.12 : x
  2. Step 2: Convert to fraction form
    5,133.80/7,696.08 = 1,846.12/x
  3. Step 3: Cross multiply
    5,133.80x = 7,696.08 × 1,846.12
  4. Step 4: Simplify right side
    5,133.80x = 14,207,887.21
  5. Step 5: Solve for x
    x = 14,207,887.21/5,133.80
  6. Step 6: Final answer
    x = 2,767.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.