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Finding the Fourth Proportional to 3,495.63, 4,823.82 and 1,902.28

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Solution

The fourth proportional to 3,495.63, 4,823.82 and 1,902.28 is: 2,625.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.63 : 4,823.82 = 1,902.28 : x
  2. Step 2: Convert to fraction form
    3,495.63/4,823.82 = 1,902.28/x
  3. Step 3: Cross multiply
    3,495.63x = 4,823.82 × 1,902.28
  4. Step 4: Simplify right side
    3,495.63x = 9,176,255.21
  5. Step 5: Solve for x
    x = 9,176,255.21/3,495.63
  6. Step 6: Final answer
    x = 2,625.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.