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Finding the Fourth Proportional to 4,675.57, 7,009.02 and 2,453.94

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Solution

The fourth proportional to 4,675.57, 7,009.02 and 2,453.94 is: 3,678.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.57 : 7,009.02 = 2,453.94 : x
  2. Step 2: Convert to fraction form
    4,675.57/7,009.02 = 2,453.94/x
  3. Step 3: Cross multiply
    4,675.57x = 7,009.02 × 2,453.94
  4. Step 4: Simplify right side
    4,675.57x = 17,199,714.54
  5. Step 5: Solve for x
    x = 17,199,714.54/4,675.57
  6. Step 6: Final answer
    x = 3,678.63

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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.