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Finding the Fourth Proportional to 3,436.57, 5,155.19 and 971.41

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Solution

The fourth proportional to 3,436.57, 5,155.19 and 971.41 is: 1,457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.57 : 5,155.19 = 971.41 : x
  2. Step 2: Convert to fraction form
    3,436.57/5,155.19 = 971.41/x
  3. Step 3: Cross multiply
    3,436.57x = 5,155.19 × 971.41
  4. Step 4: Simplify right side
    3,436.57x = 5,007,803.12
  5. Step 5: Solve for x
    x = 5,007,803.12/3,436.57
  6. Step 6: Final answer
    x = 1,457.21

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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.