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Finding the Fourth Proportional to 3,647.34, 5,470.47 and 1,015.11

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Solution

The fourth proportional to 3,647.34, 5,470.47 and 1,015.11 is: 1,522.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.34 : 5,470.47 = 1,015.11 : x
  2. Step 2: Convert to fraction form
    3,647.34/5,470.47 = 1,015.11/x
  3. Step 3: Cross multiply
    3,647.34x = 5,470.47 × 1,015.11
  4. Step 4: Simplify right side
    3,647.34x = 5,553,128.80
  5. Step 5: Solve for x
    x = 5,553,128.80/3,647.34
  6. Step 6: Final answer
    x = 1,522.51

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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.