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Finding the Fourth Proportional to 4,233.69, 6,348.21 and 1,458.08

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Solution

The fourth proportional to 4,233.69, 6,348.21 and 1,458.08 is: 2,186.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233.69 : 6,348.21 = 1,458.08 : x
  2. Step 2: Convert to fraction form
    4,233.69/6,348.21 = 1,458.08/x
  3. Step 3: Cross multiply
    4,233.69x = 6,348.21 × 1,458.08
  4. Step 4: Simplify right side
    4,233.69x = 9,256,166.78
  5. Step 5: Solve for x
    x = 9,256,166.78/4,233.69
  6. Step 6: Final answer
    x = 2,186.31

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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.