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Finding the Fourth Proportional to 4,832.46, 7,244.46 and 1,711.98

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Solution

The fourth proportional to 4,832.46, 7,244.46 and 1,711.98 is: 2,566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.46 : 7,244.46 = 1,711.98 : x
  2. Step 2: Convert to fraction form
    4,832.46/7,244.46 = 1,711.98/x
  3. Step 3: Cross multiply
    4,832.46x = 7,244.46 × 1,711.98
  4. Step 4: Simplify right side
    4,832.46x = 12,402,370.63
  5. Step 5: Solve for x
    x = 12,402,370.63/4,832.46
  6. Step 6: Final answer
    x = 2,566.47

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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.