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Finding the Fourth Proportional to 4,635.96, 6,955.02 and 1,349.40

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Solution

The fourth proportional to 4,635.96, 6,955.02 and 1,349.40 is: 2,024.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.96 : 6,955.02 = 1,349.40 : x
  2. Step 2: Convert to fraction form
    4,635.96/6,955.02 = 1,349.40/x
  3. Step 3: Cross multiply
    4,635.96x = 6,955.02 × 1,349.40
  4. Step 4: Simplify right side
    4,635.96x = 9,385,103.99
  5. Step 5: Solve for x
    x = 9,385,103.99/4,635.96
  6. Step 6: Final answer
    x = 2,024.41

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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.