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Finding the Fourth Proportional to 5,424.53, 7,482.99 and 3,431.63

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Solution

The fourth proportional to 5,424.53, 7,482.99 and 3,431.63 is: 4,733.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.53 : 7,482.99 = 3,431.63 : x
  2. Step 2: Convert to fraction form
    5,424.53/7,482.99 = 3,431.63/x
  3. Step 3: Cross multiply
    5,424.53x = 7,482.99 × 3,431.63
  4. Step 4: Simplify right side
    5,424.53x = 25,678,852.97
  5. Step 5: Solve for x
    x = 25,678,852.97/5,424.53
  6. Step 6: Final answer
    x = 4,733.84

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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.