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Finding the Fourth Proportional to 3,652.92, 5,479.47 and 1,056.06

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Solution

The fourth proportional to 3,652.92, 5,479.47 and 1,056.06 is: 1,584.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.92 : 5,479.47 = 1,056.06 : x
  2. Step 2: Convert to fraction form
    3,652.92/5,479.47 = 1,056.06/x
  3. Step 3: Cross multiply
    3,652.92x = 5,479.47 × 1,056.06
  4. Step 4: Simplify right side
    3,652.92x = 5,786,649.09
  5. Step 5: Solve for x
    x = 5,786,649.09/3,652.92
  6. Step 6: Final answer
    x = 1,584.12

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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.