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Finding the Fourth Proportional to 4,782.42, 7,175.02 and 2,007.63

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Solution

The fourth proportional to 4,782.42, 7,175.02 and 2,007.63 is: 3,012.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.42 : 7,175.02 = 2,007.63 : x
  2. Step 2: Convert to fraction form
    4,782.42/7,175.02 = 2,007.63/x
  3. Step 3: Cross multiply
    4,782.42x = 7,175.02 × 2,007.63
  4. Step 4: Simplify right side
    4,782.42x = 14,404,744.51
  5. Step 5: Solve for x
    x = 14,404,744.51/4,782.42
  6. Step 6: Final answer
    x = 3,012.02

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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.