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Finding the Fourth Proportional to 5,671.50, 8,505.88 and 2,384.64

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Solution

The fourth proportional to 5,671.50, 8,505.88 and 2,384.64 is: 3,576.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.50 : 8,505.88 = 2,384.64 : x
  2. Step 2: Convert to fraction form
    5,671.50/8,505.88 = 2,384.64/x
  3. Step 3: Cross multiply
    5,671.50x = 8,505.88 × 2,384.64
  4. Step 4: Simplify right side
    5,671.50x = 20,283,461.68
  5. Step 5: Solve for x
    x = 20,283,461.68/5,671.50
  6. Step 6: Final answer
    x = 3,576.38

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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.