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Finding the Fourth Proportional to 3,581, 4,940.10 and 2,533.64

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Solution

The fourth proportional to 3,581, 4,940.10 and 2,533.64 is: 3,495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581 : 4,940.10 = 2,533.64 : x
  2. Step 2: Convert to fraction form
    3,581/4,940.10 = 2,533.64/x
  3. Step 3: Cross multiply
    3,581x = 4,940.10 × 2,533.64
  4. Step 4: Simplify right side
    3,581x = 12,516,434.96
  5. Step 5: Solve for x
    x = 12,516,434.96/3,581
  6. Step 6: Final answer
    x = 3,495.23

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Why These Related Problems?

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