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Finding the Fourth Proportional to 4,647.30, 6,972.09 and 1,527.31

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Solution

The fourth proportional to 4,647.30, 6,972.09 and 1,527.31 is: 2,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.30 : 6,972.09 = 1,527.31 : x
  2. Step 2: Convert to fraction form
    4,647.30/6,972.09 = 1,527.31/x
  3. Step 3: Cross multiply
    4,647.30x = 6,972.09 × 1,527.31
  4. Step 4: Simplify right side
    4,647.30x = 10,648,542.78
  5. Step 5: Solve for x
    x = 10,648,542.78/4,647.30
  6. Step 6: Final answer
    x = 2,291.34

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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.