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Finding the Fourth Proportional to 5,698.82, 8,541.75 and 2,409.86

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Solution

The fourth proportional to 5,698.82, 8,541.75 and 2,409.86 is: 3,612.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.82 : 8,541.75 = 2,409.86 : x
  2. Step 2: Convert to fraction form
    5,698.82/8,541.75 = 2,409.86/x
  3. Step 3: Cross multiply
    5,698.82x = 8,541.75 × 2,409.86
  4. Step 4: Simplify right side
    5,698.82x = 20,584,421.66
  5. Step 5: Solve for x
    x = 20,584,421.66/5,698.82
  6. Step 6: Final answer
    x = 3,612.05

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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.