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Finding the Fourth Proportional to 3,509.51, 4,842.79 and 2,182.19

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Solution

The fourth proportional to 3,509.51, 4,842.79 and 2,182.19 is: 3,011.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.51 : 4,842.79 = 2,182.19 : x
  2. Step 2: Convert to fraction form
    3,509.51/4,842.79 = 2,182.19/x
  3. Step 3: Cross multiply
    3,509.51x = 4,842.79 × 2,182.19
  4. Step 4: Simplify right side
    3,509.51x = 10,567,858.24
  5. Step 5: Solve for x
    x = 10,567,858.24/3,509.51
  6. Step 6: Final answer
    x = 3,011.21

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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.