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Finding the Fourth Proportional to 3,582.63, 5,372 and 1,242.46

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Solution

The fourth proportional to 3,582.63, 5,372 and 1,242.46 is: 1,863.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.63 : 5,372 = 1,242.46 : x
  2. Step 2: Convert to fraction form
    3,582.63/5,372 = 1,242.46/x
  3. Step 3: Cross multiply
    3,582.63x = 5,372 × 1,242.46
  4. Step 4: Simplify right side
    3,582.63x = 6,674,481.69
  5. Step 5: Solve for x
    x = 6,674,481.69/3,582.63
  6. Step 6: Final answer
    x = 1,863.01

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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.