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Finding the Fourth Proportional to 3,564.54, 5,346.63 and 1,224.54

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Solution

The fourth proportional to 3,564.54, 5,346.63 and 1,224.54 is: 1,836.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.54 : 5,346.63 = 1,224.54 : x
  2. Step 2: Convert to fraction form
    3,564.54/5,346.63 = 1,224.54/x
  3. Step 3: Cross multiply
    3,564.54x = 5,346.63 × 1,224.54
  4. Step 4: Simplify right side
    3,564.54x = 6,547,162.30
  5. Step 5: Solve for x
    x = 6,547,162.30/3,564.54
  6. Step 6: Final answer
    x = 1,836.75

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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.