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Finding the Fourth Proportional to 3,722.58, 5,582.21 and 1,412.46

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Solution

The fourth proportional to 3,722.58, 5,582.21 and 1,412.46 is: 2,118.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.58 : 5,582.21 = 1,412.46 : x
  2. Step 2: Convert to fraction form
    3,722.58/5,582.21 = 1,412.46/x
  3. Step 3: Cross multiply
    3,722.58x = 5,582.21 × 1,412.46
  4. Step 4: Simplify right side
    3,722.58x = 7,884,641.27
  5. Step 5: Solve for x
    x = 7,884,641.27/3,722.58
  6. Step 6: Final answer
    x = 2,118.06

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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.