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Finding the Fourth Proportional to 3,436.02, 5,154.34 and 970.90

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Solution

The fourth proportional to 3,436.02, 5,154.34 and 970.90 is: 1,456.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.02 : 5,154.34 = 970.90 : x
  2. Step 2: Convert to fraction form
    3,436.02/5,154.34 = 970.90/x
  3. Step 3: Cross multiply
    3,436.02x = 5,154.34 × 970.90
  4. Step 4: Simplify right side
    3,436.02x = 5,004,348.71
  5. Step 5: Solve for x
    x = 5,004,348.71/3,436.02
  6. Step 6: Final answer
    x = 1,456.44

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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.