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Finding the Fourth Proportional to 4,503.78, 6,749.91 and 1,903.14

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Solution

The fourth proportional to 4,503.78, 6,749.91 and 1,903.14 is: 2,852.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,503.78 : 6,749.91 = 1,903.14 : x
  2. Step 2: Convert to fraction form
    4,503.78/6,749.91 = 1,903.14/x
  3. Step 3: Cross multiply
    4,503.78x = 6,749.91 × 1,903.14
  4. Step 4: Simplify right side
    4,503.78x = 12,846,023.72
  5. Step 5: Solve for x
    x = 12,846,023.72/4,503.78
  6. Step 6: Final answer
    x = 2,852.28

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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.