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Finding the Fourth Proportional to 3,564.61, 5,347.79 and 1,224.65

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Solution

The fourth proportional to 3,564.61, 5,347.79 and 1,224.65 is: 1,837.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.61 : 5,347.79 = 1,224.65 : x
  2. Step 2: Convert to fraction form
    3,564.61/5,347.79 = 1,224.65/x
  3. Step 3: Cross multiply
    3,564.61x = 5,347.79 × 1,224.65
  4. Step 4: Simplify right side
    3,564.61x = 6,549,141.10
  5. Step 5: Solve for x
    x = 6,549,141.10/3,564.61
  6. Step 6: Final answer
    x = 1,837.27

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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.