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Finding the Fourth Proportional to 3,475.34, 5,213.58 and 1,009.83

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Solution

The fourth proportional to 3,475.34, 5,213.58 and 1,009.83 is: 1,514.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.34 : 5,213.58 = 1,009.83 : x
  2. Step 2: Convert to fraction form
    3,475.34/5,213.58 = 1,009.83/x
  3. Step 3: Cross multiply
    3,475.34x = 5,213.58 × 1,009.83
  4. Step 4: Simplify right side
    3,475.34x = 5,264,824.44
  5. Step 5: Solve for x
    x = 5,264,824.44/3,475.34
  6. Step 6: Final answer
    x = 1,514.91

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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.