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Finding the Fourth Proportional to 5,494.16, 7,583.00 and 4,296.77

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Solution

The fourth proportional to 5,494.16, 7,583.00 and 4,296.77 is: 5,930.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.16 : 7,583.00 = 4,296.77 : x
  2. Step 2: Convert to fraction form
    5,494.16/7,583.00 = 4,296.77/x
  3. Step 3: Cross multiply
    5,494.16x = 7,583.00 × 4,296.77
  4. Step 4: Simplify right side
    5,494.16x = 32,582,379.74
  5. Step 5: Solve for x
    x = 32,582,379.74/5,494.16
  6. Step 6: Final answer
    x = 5,930.37

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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.