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Finding the Fourth Proportional to 3,207.02, 4,809.90 and 1,475.24

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Solution

The fourth proportional to 3,207.02, 4,809.90 and 1,475.24 is: 2,212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.02 : 4,809.90 = 1,475.24 : x
  2. Step 2: Convert to fraction form
    3,207.02/4,809.90 = 1,475.24/x
  3. Step 3: Cross multiply
    3,207.02x = 4,809.90 × 1,475.24
  4. Step 4: Simplify right side
    3,207.02x = 7,095,756.88
  5. Step 5: Solve for x
    x = 7,095,756.88/3,207.02
  6. Step 6: Final answer
    x = 2,212.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.