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Finding the Fourth Proportional to 3,475.53, 5,212.46 and 1,009.68

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Solution

The fourth proportional to 3,475.53, 5,212.46 and 1,009.68 is: 1,514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.53 : 5,212.46 = 1,009.68 : x
  2. Step 2: Convert to fraction form
    3,475.53/5,212.46 = 1,009.68/x
  3. Step 3: Cross multiply
    3,475.53x = 5,212.46 × 1,009.68
  4. Step 4: Simplify right side
    3,475.53x = 5,262,911.56
  5. Step 5: Solve for x
    x = 5,262,911.56/3,475.53
  6. Step 6: Final answer
    x = 1,514.28

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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.