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Finding the Fourth Proportional to 5,173.76, 7,758.56 and 1,885.02

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Solution

The fourth proportional to 5,173.76, 7,758.56 and 1,885.02 is: 2,826.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.76 : 7,758.56 = 1,885.02 : x
  2. Step 2: Convert to fraction form
    5,173.76/7,758.56 = 1,885.02/x
  3. Step 3: Cross multiply
    5,173.76x = 7,758.56 × 1,885.02
  4. Step 4: Simplify right side
    5,173.76x = 14,625,040.77
  5. Step 5: Solve for x
    x = 14,625,040.77/5,173.76
  6. Step 6: Final answer
    x = 2,826.77

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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.