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Finding the Fourth Proportional to 5,223.70, 7,835.58 and 1,328.11

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Solution

The fourth proportional to 5,223.70, 7,835.58 and 1,328.11 is: 1,992.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.70 : 7,835.58 = 1,328.11 : x
  2. Step 2: Convert to fraction form
    5,223.70/7,835.58 = 1,328.11/x
  3. Step 3: Cross multiply
    5,223.70x = 7,835.58 × 1,328.11
  4. Step 4: Simplify right side
    5,223.70x = 10,406,512.15
  5. Step 5: Solve for x
    x = 10,406,512.15/5,223.70
  6. Step 6: Final answer
    x = 1,992.17

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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.