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Finding the Fourth Proportional to 4,938.96, 7,409.14 and 1,606.11

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Solution

The fourth proportional to 4,938.96, 7,409.14 and 1,606.11 is: 2,409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.96 : 7,409.14 = 1,606.11 : x
  2. Step 2: Convert to fraction form
    4,938.96/7,409.14 = 1,606.11/x
  3. Step 3: Cross multiply
    4,938.96x = 7,409.14 × 1,606.11
  4. Step 4: Simplify right side
    4,938.96x = 11,899,893.85
  5. Step 5: Solve for x
    x = 11,899,893.85/4,938.96
  6. Step 6: Final answer
    x = 2,409.39

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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.