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Finding the Fourth Proportional to 3,803.44, 5,701.29 and 2,570.98

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Solution

The fourth proportional to 3,803.44, 5,701.29 and 2,570.98 is: 3,853.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.44 : 5,701.29 = 2,570.98 : x
  2. Step 2: Convert to fraction form
    3,803.44/5,701.29 = 2,570.98/x
  3. Step 3: Cross multiply
    3,803.44x = 5,701.29 × 2,570.98
  4. Step 4: Simplify right side
    3,803.44x = 14,657,902.56
  5. Step 5: Solve for x
    x = 14,657,902.56/3,803.44
  6. Step 6: Final answer
    x = 3,853.85

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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.