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Finding the Fourth Proportional to 5,382.36, 7,430.97 and 4,267.80

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Solution

The fourth proportional to 5,382.36, 7,430.97 and 4,267.80 is: 5,892.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.36 : 7,430.97 = 4,267.80 : x
  2. Step 2: Convert to fraction form
    5,382.36/7,430.97 = 4,267.80/x
  3. Step 3: Cross multiply
    5,382.36x = 7,430.97 × 4,267.80
  4. Step 4: Simplify right side
    5,382.36x = 31,713,893.77
  5. Step 5: Solve for x
    x = 31,713,893.77/5,382.36
  6. Step 6: Final answer
    x = 5,892.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.