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Finding the Fourth Proportional to 4,672.53, 7,008.63 and 1,898.46

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Solution

The fourth proportional to 4,672.53, 7,008.63 and 1,898.46 is: 2,847.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.53 : 7,008.63 = 1,898.46 : x
  2. Step 2: Convert to fraction form
    4,672.53/7,008.63 = 1,898.46/x
  3. Step 3: Cross multiply
    4,672.53x = 7,008.63 × 1,898.46
  4. Step 4: Simplify right side
    4,672.53x = 13,305,603.71
  5. Step 5: Solve for x
    x = 13,305,603.71/4,672.53
  6. Step 6: Final answer
    x = 2,847.62

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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.