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Finding the Fourth Proportional to 2,566.01, 3,828.86 and 2,409.27

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Solution

The fourth proportional to 2,566.01, 3,828.86 and 2,409.27 is: 3,594.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.01 : 3,828.86 = 2,409.27 : x
  2. Step 2: Convert to fraction form
    2,566.01/3,828.86 = 2,409.27/x
  3. Step 3: Cross multiply
    2,566.01x = 3,828.86 × 2,409.27
  4. Step 4: Simplify right side
    2,566.01x = 9,224,745.49
  5. Step 5: Solve for x
    x = 9,224,745.49/2,566.01
  6. Step 6: Final answer
    x = 3,594.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.