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Finding the Fourth Proportional to 4,572.34, 6,846.90 and 3,107.02

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Solution

The fourth proportional to 4,572.34, 6,846.90 and 3,107.02 is: 4,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.34 : 6,846.90 = 3,107.02 : x
  2. Step 2: Convert to fraction form
    4,572.34/6,846.90 = 3,107.02/x
  3. Step 3: Cross multiply
    4,572.34x = 6,846.90 × 3,107.02
  4. Step 4: Simplify right side
    4,572.34x = 21,273,455.24
  5. Step 5: Solve for x
    x = 21,273,455.24/4,572.34
  6. Step 6: Final answer
    x = 4,652.64

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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.