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Finding the Fourth Proportional to 5,172.34, 7,754.72 and 1,885.47

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Solution

The fourth proportional to 5,172.34, 7,754.72 and 1,885.47 is: 2,826.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.34 : 7,754.72 = 1,885.47 : x
  2. Step 2: Convert to fraction form
    5,172.34/7,754.72 = 1,885.47/x
  3. Step 3: Cross multiply
    5,172.34x = 7,754.72 × 1,885.47
  4. Step 4: Simplify right side
    5,172.34x = 14,621,291.92
  5. Step 5: Solve for x
    x = 14,621,291.92/5,172.34
  6. Step 6: Final answer
    x = 2,826.82

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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.