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Finding the Fourth Proportional to 3,436.05, 5,153.51 and 970.31

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Solution

The fourth proportional to 3,436.05, 5,153.51 and 970.31 is: 1,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.05 : 5,153.51 = 970.31 : x
  2. Step 2: Convert to fraction form
    3,436.05/5,153.51 = 970.31/x
  3. Step 3: Cross multiply
    3,436.05x = 5,153.51 × 970.31
  4. Step 4: Simplify right side
    3,436.05x = 5,000,471.67
  5. Step 5: Solve for x
    x = 5,000,471.67/3,436.05
  6. Step 6: Final answer
    x = 1,455.30

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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.