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Finding the Fourth Proportional to 3,867.74, 5,804.34 and 3,495.95

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Solution

The fourth proportional to 3,867.74, 5,804.34 and 3,495.95 is: 5,246.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.74 : 5,804.34 = 3,495.95 : x
  2. Step 2: Convert to fraction form
    3,867.74/5,804.34 = 3,495.95/x
  3. Step 3: Cross multiply
    3,867.74x = 5,804.34 × 3,495.95
  4. Step 4: Simplify right side
    3,867.74x = 20,291,682.42
  5. Step 5: Solve for x
    x = 20,291,682.42/3,867.74
  6. Step 6: Final answer
    x = 5,246.39

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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.