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Finding the Fourth Proportional to 5,140.80, 7,706.52 and 1,853.15

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Solution

The fourth proportional to 5,140.80, 7,706.52 and 1,853.15 is: 2,778.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.80 : 7,706.52 = 1,853.15 : x
  2. Step 2: Convert to fraction form
    5,140.80/7,706.52 = 1,853.15/x
  3. Step 3: Cross multiply
    5,140.80x = 7,706.52 × 1,853.15
  4. Step 4: Simplify right side
    5,140.80x = 14,281,299.01
  5. Step 5: Solve for x
    x = 14,281,299.01/5,140.80
  6. Step 6: Final answer
    x = 2,778.03

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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.