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Finding the Fourth Proportional to 5,137.95, 7,706.83 and 1,853.20

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Solution

The fourth proportional to 5,137.95, 7,706.83 and 1,853.20 is: 2,779.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.95 : 7,706.83 = 1,853.20 : x
  2. Step 2: Convert to fraction form
    5,137.95/7,706.83 = 1,853.20/x
  3. Step 3: Cross multiply
    5,137.95x = 7,706.83 × 1,853.20
  4. Step 4: Simplify right side
    5,137.95x = 14,282,297.36
  5. Step 5: Solve for x
    x = 14,282,297.36/5,137.95
  6. Step 6: Final answer
    x = 2,779.77

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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.