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Finding the Fourth Proportional to 5,396.93, 7,444.13 and 3,405.81

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Solution

The fourth proportional to 5,396.93, 7,444.13 and 3,405.81 is: 4,697.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.93 : 7,444.13 = 3,405.81 : x
  2. Step 2: Convert to fraction form
    5,396.93/7,444.13 = 3,405.81/x
  3. Step 3: Cross multiply
    5,396.93x = 7,444.13 × 3,405.81
  4. Step 4: Simplify right side
    5,396.93x = 25,353,275.37
  5. Step 5: Solve for x
    x = 25,353,275.37/5,396.93
  6. Step 6: Final answer
    x = 4,697.73

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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.