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Finding the Fourth Proportional to 4,938.95, 7,400.22 and 3,475.03

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Solution

The fourth proportional to 4,938.95, 7,400.22 and 3,475.03 is: 5,206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.95 : 7,400.22 = 3,475.03 : x
  2. Step 2: Convert to fraction form
    4,938.95/7,400.22 = 3,475.03/x
  3. Step 3: Cross multiply
    4,938.95x = 7,400.22 × 3,475.03
  4. Step 4: Simplify right side
    4,938.95x = 25,715,986.51
  5. Step 5: Solve for x
    x = 25,715,986.51/4,938.95
  6. Step 6: Final answer
    x = 5,206.77

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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.