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Finding the Fourth Proportional to 4,576.85, 6,866.05 and 1,803.93

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Solution

The fourth proportional to 4,576.85, 6,866.05 and 1,803.93 is: 2,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.85 : 6,866.05 = 1,803.93 : x
  2. Step 2: Convert to fraction form
    4,576.85/6,866.05 = 1,803.93/x
  3. Step 3: Cross multiply
    4,576.85x = 6,866.05 × 1,803.93
  4. Step 4: Simplify right side
    4,576.85x = 12,385,873.58
  5. Step 5: Solve for x
    x = 12,385,873.58/4,576.85
  6. Step 6: Final answer
    x = 2,706.20

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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.