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Finding the Fourth Proportional to 3,803.96, 5,706.65 and 1,827.77

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Solution

The fourth proportional to 3,803.96, 5,706.65 and 1,827.77 is: 2,741.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.96 : 5,706.65 = 1,827.77 : x
  2. Step 2: Convert to fraction form
    3,803.96/5,706.65 = 1,827.77/x
  3. Step 3: Cross multiply
    3,803.96x = 5,706.65 × 1,827.77
  4. Step 4: Simplify right side
    3,803.96x = 10,430,419.71
  5. Step 5: Solve for x
    x = 10,430,419.71/3,803.96
  6. Step 6: Final answer
    x = 2,741.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.