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Finding the Fourth Proportional to 5,369.19, 7,405.73 and 5,188.56

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Solution

The fourth proportional to 5,369.19, 7,405.73 and 5,188.56 is: 7,156.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.19 : 7,405.73 = 5,188.56 : x
  2. Step 2: Convert to fraction form
    5,369.19/7,405.73 = 5,188.56/x
  3. Step 3: Cross multiply
    5,369.19x = 7,405.73 × 5,188.56
  4. Step 4: Simplify right side
    5,369.19x = 38,425,074.45
  5. Step 5: Solve for x
    x = 38,425,074.45/5,369.19
  6. Step 6: Final answer
    x = 7,156.59

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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.