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Finding the Fourth Proportional to 3,495.57, 4,823.97 and 1,902.30

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Solution

The fourth proportional to 3,495.57, 4,823.97 and 1,902.30 is: 2,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.57 : 4,823.97 = 1,902.30 : x
  2. Step 2: Convert to fraction form
    3,495.57/4,823.97 = 1,902.30/x
  3. Step 3: Cross multiply
    3,495.57x = 4,823.97 × 1,902.30
  4. Step 4: Simplify right side
    3,495.57x = 9,176,638.13
  5. Step 5: Solve for x
    x = 9,176,638.13/3,495.57
  6. Step 6: Final answer
    x = 2,625.22

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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.