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Finding the Fourth Proportional to 4,672.69, 7,009.52 and 1,898.94

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Solution

The fourth proportional to 4,672.69, 7,009.52 and 1,898.94 is: 2,848.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.69 : 7,009.52 = 1,898.94 : x
  2. Step 2: Convert to fraction form
    4,672.69/7,009.52 = 1,898.94/x
  3. Step 3: Cross multiply
    4,672.69x = 7,009.52 × 1,898.94
  4. Step 4: Simplify right side
    4,672.69x = 13,310,685.38
  5. Step 5: Solve for x
    x = 13,310,685.38/4,672.69
  6. Step 6: Final answer
    x = 2,848.61

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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.