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Finding the Fourth Proportional to 4,693.63, 7,042.32 and 2,059.74

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Solution

The fourth proportional to 4,693.63, 7,042.32 and 2,059.74 is: 3,090.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.63 : 7,042.32 = 2,059.74 : x
  2. Step 2: Convert to fraction form
    4,693.63/7,042.32 = 2,059.74/x
  3. Step 3: Cross multiply
    4,693.63x = 7,042.32 × 2,059.74
  4. Step 4: Simplify right side
    4,693.63x = 14,505,348.20
  5. Step 5: Solve for x
    x = 14,505,348.20/4,693.63
  6. Step 6: Final answer
    x = 3,090.43

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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.