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Finding the Fourth Proportional to 3,607.32, 5,410.44 and 1,009.92

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Solution

The fourth proportional to 3,607.32, 5,410.44 and 1,009.92 is: 1,514.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.32 : 5,410.44 = 1,009.92 : x
  2. Step 2: Convert to fraction form
    3,607.32/5,410.44 = 1,009.92/x
  3. Step 3: Cross multiply
    3,607.32x = 5,410.44 × 1,009.92
  4. Step 4: Simplify right side
    3,607.32x = 5,464,111.56
  5. Step 5: Solve for x
    x = 5,464,111.56/3,607.32
  6. Step 6: Final answer
    x = 1,514.73

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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.