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Finding the Fourth Proportional to 3,444.77, 4,753.80 and 1,872.87

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Solution

The fourth proportional to 3,444.77, 4,753.80 and 1,872.87 is: 2,584.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.77 : 4,753.80 = 1,872.87 : x
  2. Step 2: Convert to fraction form
    3,444.77/4,753.80 = 1,872.87/x
  3. Step 3: Cross multiply
    3,444.77x = 4,753.80 × 1,872.87
  4. Step 4: Simplify right side
    3,444.77x = 8,903,249.41
  5. Step 5: Solve for x
    x = 8,903,249.41/3,444.77
  6. Step 6: Final answer
    x = 2,584.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.