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Finding the Fourth Proportional to 3,509.46, 4,842.72 and 2,093.58

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Solution

The fourth proportional to 3,509.46, 4,842.72 and 2,093.58 is: 2,888.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.46 : 4,842.72 = 2,093.58 : x
  2. Step 2: Convert to fraction form
    3,509.46/4,842.72 = 2,093.58/x
  3. Step 3: Cross multiply
    3,509.46x = 4,842.72 × 2,093.58
  4. Step 4: Simplify right side
    3,509.46x = 10,138,621.74
  5. Step 5: Solve for x
    x = 10,138,621.74/3,509.46
  6. Step 6: Final answer
    x = 2,888.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.