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Finding the Fourth Proportional to 4,116, 6,159.63 and 3,366.95

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Solution

The fourth proportional to 4,116, 6,159.63 and 3,366.95 is: 5,038.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116 : 6,159.63 = 3,366.95 : x
  2. Step 2: Convert to fraction form
    4,116/6,159.63 = 3,366.95/x
  3. Step 3: Cross multiply
    4,116x = 6,159.63 × 3,366.95
  4. Step 4: Simplify right side
    4,116x = 20,739,166.23
  5. Step 5: Solve for x
    x = 20,739,166.23/4,116
  6. Step 6: Final answer
    x = 5,038.67

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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.