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Finding the Fourth Proportional to 3,211.07, 4,817.42 and 902.57

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Solution

The fourth proportional to 3,211.07, 4,817.42 and 902.57 is: 1,354.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.07 : 4,817.42 = 902.57 : x
  2. Step 2: Convert to fraction form
    3,211.07/4,817.42 = 902.57/x
  3. Step 3: Cross multiply
    3,211.07x = 4,817.42 × 902.57
  4. Step 4: Simplify right side
    3,211.07x = 4,348,058.77
  5. Step 5: Solve for x
    x = 4,348,058.77/3,211.07
  6. Step 6: Final answer
    x = 1,354.08

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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.