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Finding the Fourth Proportional to 4,636.83, 6,955.70 and 1,349.95

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Solution

The fourth proportional to 4,636.83, 6,955.70 and 1,349.95 is: 2,025.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.83 : 6,955.70 = 1,349.95 : x
  2. Step 2: Convert to fraction form
    4,636.83/6,955.70 = 1,349.95/x
  3. Step 3: Cross multiply
    4,636.83x = 6,955.70 × 1,349.95
  4. Step 4: Simplify right side
    4,636.83x = 9,389,847.22
  5. Step 5: Solve for x
    x = 9,389,847.22/4,636.83
  6. Step 6: Final answer
    x = 2,025.06

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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.