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Finding the Fourth Proportional to 4,678.24, 7,015.20 and 1,675.30

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Solution

The fourth proportional to 4,678.24, 7,015.20 and 1,675.30 is: 2,512.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.24 : 7,015.20 = 1,675.30 : x
  2. Step 2: Convert to fraction form
    4,678.24/7,015.20 = 1,675.30/x
  3. Step 3: Cross multiply
    4,678.24x = 7,015.20 × 1,675.30
  4. Step 4: Simplify right side
    4,678.24x = 11,752,564.56
  5. Step 5: Solve for x
    x = 11,752,564.56/4,678.24
  6. Step 6: Final answer
    x = 2,512.18

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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.