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Finding the Fourth Proportional to 3,436.17, 5,154.35 and 971.25

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Solution

The fourth proportional to 3,436.17, 5,154.35 and 971.25 is: 1,456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.17 : 5,154.35 = 971.25 : x
  2. Step 2: Convert to fraction form
    3,436.17/5,154.35 = 971.25/x
  3. Step 3: Cross multiply
    3,436.17x = 5,154.35 × 971.25
  4. Step 4: Simplify right side
    3,436.17x = 5,006,157.58
  5. Step 5: Solve for x
    x = 5,006,157.58/3,436.17
  6. Step 6: Final answer
    x = 1,456.90

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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.