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Finding the Fourth Proportional to 4,636.14, 6,954.18 and 1,173.40

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Solution

The fourth proportional to 4,636.14, 6,954.18 and 1,173.40 is: 1,760.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.14 : 6,954.18 = 1,173.40 : x
  2. Step 2: Convert to fraction form
    4,636.14/6,954.18 = 1,173.40/x
  3. Step 3: Cross multiply
    4,636.14x = 6,954.18 × 1,173.40
  4. Step 4: Simplify right side
    4,636.14x = 8,160,034.81
  5. Step 5: Solve for x
    x = 8,160,034.81/4,636.14
  6. Step 6: Final answer
    x = 1,760.09

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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.