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Finding the Fourth Proportional to 4,636.52, 6,955.46 and 1,349.18

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Solution

The fourth proportional to 4,636.52, 6,955.46 and 1,349.18 is: 2,023.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.52 : 6,955.46 = 1,349.18 : x
  2. Step 2: Convert to fraction form
    4,636.52/6,955.46 = 1,349.18/x
  3. Step 3: Cross multiply
    4,636.52x = 6,955.46 × 1,349.18
  4. Step 4: Simplify right side
    4,636.52x = 9,384,126.00
  5. Step 5: Solve for x
    x = 9,384,126.00/4,636.52
  6. Step 6: Final answer
    x = 2,023.96

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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.