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Finding the Fourth Proportional to 4,607.52, 6,907.44 and 2,141.04

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Solution

The fourth proportional to 4,607.52, 6,907.44 and 2,141.04 is: 3,209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.52 : 6,907.44 = 2,141.04 : x
  2. Step 2: Convert to fraction form
    4,607.52/6,907.44 = 2,141.04/x
  3. Step 3: Cross multiply
    4,607.52x = 6,907.44 × 2,141.04
  4. Step 4: Simplify right side
    4,607.52x = 14,789,105.34
  5. Step 5: Solve for x
    x = 14,789,105.34/4,607.52
  6. Step 6: Final answer
    x = 3,209.78

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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.