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Finding the Fourth Proportional to 3,436.01, 5,153.42 and 970.25

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Solution

The fourth proportional to 3,436.01, 5,153.42 and 970.25 is: 1,455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.01 : 5,153.42 = 970.25 : x
  2. Step 2: Convert to fraction form
    3,436.01/5,153.42 = 970.25/x
  3. Step 3: Cross multiply
    3,436.01x = 5,153.42 × 970.25
  4. Step 4: Simplify right side
    3,436.01x = 5,000,079.99
  5. Step 5: Solve for x
    x = 5,000,079.99/3,436.01
  6. Step 6: Final answer
    x = 1,455.20

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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.