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Finding the Fourth Proportional to 4,636.69, 6,955.12 and 1,349.81

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Solution

The fourth proportional to 4,636.69, 6,955.12 and 1,349.81 is: 2,024.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.69 : 6,955.12 = 1,349.81 : x
  2. Step 2: Convert to fraction form
    4,636.69/6,955.12 = 1,349.81/x
  3. Step 3: Cross multiply
    4,636.69x = 6,955.12 × 1,349.81
  4. Step 4: Simplify right side
    4,636.69x = 9,388,115.05
  5. Step 5: Solve for x
    x = 9,388,115.05/4,636.69
  6. Step 6: Final answer
    x = 2,024.74

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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.