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Finding the Fourth Proportional to 4,942.95, 7,409.70 and 2,475.29

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Solution

The fourth proportional to 4,942.95, 7,409.70 and 2,475.29 is: 3,710.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.95 : 7,409.70 = 2,475.29 : x
  2. Step 2: Convert to fraction form
    4,942.95/7,409.70 = 2,475.29/x
  3. Step 3: Cross multiply
    4,942.95x = 7,409.70 × 2,475.29
  4. Step 4: Simplify right side
    4,942.95x = 18,341,119.26
  5. Step 5: Solve for x
    x = 18,341,119.26/4,942.95
  6. Step 6: Final answer
    x = 3,710.56

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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.