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Finding the Fourth Proportional to 3,509.58, 4,842.67 and 2,017.22

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Solution

The fourth proportional to 3,509.58, 4,842.67 and 2,017.22 is: 2,783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.58 : 4,842.67 = 2,017.22 : x
  2. Step 2: Convert to fraction form
    3,509.58/4,842.67 = 2,017.22/x
  3. Step 3: Cross multiply
    3,509.58x = 4,842.67 × 2,017.22
  4. Step 4: Simplify right side
    3,509.58x = 9,768,735.82
  5. Step 5: Solve for x
    x = 9,768,735.82/3,509.58
  6. Step 6: Final answer
    x = 2,783.45

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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.