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Finding the Fourth Proportional to 3,482.10, 5,223.06 and 849.61

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Solution

The fourth proportional to 3,482.10, 5,223.06 and 849.61 is: 1,274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.10 : 5,223.06 = 849.61 : x
  2. Step 2: Convert to fraction form
    3,482.10/5,223.06 = 849.61/x
  3. Step 3: Cross multiply
    3,482.10x = 5,223.06 × 849.61
  4. Step 4: Simplify right side
    3,482.10x = 4,437,564.01
  5. Step 5: Solve for x
    x = 4,437,564.01/3,482.10
  6. Step 6: Final answer
    x = 1,274.39

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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.