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Finding the Fourth Proportional to 5,232.63, 7,850.03 and 1,534.98

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Solution

The fourth proportional to 5,232.63, 7,850.03 and 1,534.98 is: 2,302.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.63 : 7,850.03 = 1,534.98 : x
  2. Step 2: Convert to fraction form
    5,232.63/7,850.03 = 1,534.98/x
  3. Step 3: Cross multiply
    5,232.63x = 7,850.03 × 1,534.98
  4. Step 4: Simplify right side
    5,232.63x = 12,049,639.05
  5. Step 5: Solve for x
    x = 12,049,639.05/5,232.63
  6. Step 6: Final answer
    x = 2,302.79

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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.