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Finding the Fourth Proportional to 5,223.66, 7,835.94 and 1,328.06

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Solution

The fourth proportional to 5,223.66, 7,835.94 and 1,328.06 is: 1,992.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.66 : 7,835.94 = 1,328.06 : x
  2. Step 2: Convert to fraction form
    5,223.66/7,835.94 = 1,328.06/x
  3. Step 3: Cross multiply
    5,223.66x = 7,835.94 × 1,328.06
  4. Step 4: Simplify right side
    5,223.66x = 10,406,618.07
  5. Step 5: Solve for x
    x = 10,406,618.07/5,223.66
  6. Step 6: Final answer
    x = 1,992.21

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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.