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Finding the Fourth Proportional to 4,782.64, 7,161.06 and 2,699.53

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Solution

The fourth proportional to 4,782.64, 7,161.06 and 2,699.53 is: 4,042.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.64 : 7,161.06 = 2,699.53 : x
  2. Step 2: Convert to fraction form
    4,782.64/7,161.06 = 2,699.53/x
  3. Step 3: Cross multiply
    4,782.64x = 7,161.06 × 2,699.53
  4. Step 4: Simplify right side
    4,782.64x = 19,331,496.30
  5. Step 5: Solve for x
    x = 19,331,496.30/4,782.64
  6. Step 6: Final answer
    x = 4,042.01

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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.