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Finding the Fourth Proportional to 5,534.96, 8,302.44 and 3,798.32

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Solution

The fourth proportional to 5,534.96, 8,302.44 and 3,798.32 is: 5,697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,534.96 : 8,302.44 = 3,798.32 : x
  2. Step 2: Convert to fraction form
    5,534.96/8,302.44 = 3,798.32/x
  3. Step 3: Cross multiply
    5,534.96x = 8,302.44 × 3,798.32
  4. Step 4: Simplify right side
    5,534.96x = 31,535,323.90
  5. Step 5: Solve for x
    x = 31,535,323.90/5,534.96
  6. Step 6: Final answer
    x = 5,697.48

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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.