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Finding the Fourth Proportional to 3,698.39, 5,539.98 and 2,461.82

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Solution

The fourth proportional to 3,698.39, 5,539.98 and 2,461.82 is: 3,687.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.39 : 5,539.98 = 2,461.82 : x
  2. Step 2: Convert to fraction form
    3,698.39/5,539.98 = 2,461.82/x
  3. Step 3: Cross multiply
    3,698.39x = 5,539.98 × 2,461.82
  4. Step 4: Simplify right side
    3,698.39x = 13,638,405.86
  5. Step 5: Solve for x
    x = 13,638,405.86/3,698.39
  6. Step 6: Final answer
    x = 3,687.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.