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Finding the Fourth Proportional to 4,343.03, 6,514.06 and 1,223.12

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Solution

The fourth proportional to 4,343.03, 6,514.06 and 1,223.12 is: 1,834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343.03 : 6,514.06 = 1,223.12 : x
  2. Step 2: Convert to fraction form
    4,343.03/6,514.06 = 1,223.12/x
  3. Step 3: Cross multiply
    4,343.03x = 6,514.06 × 1,223.12
  4. Step 4: Simplify right side
    4,343.03x = 7,967,477.07
  5. Step 5: Solve for x
    x = 7,967,477.07/4,343.03
  6. Step 6: Final answer
    x = 1,834.54

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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.