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Finding the Fourth Proportional to 3,509.47, 4,842.82 and 2,017.38

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Solution

The fourth proportional to 3,509.47, 4,842.82 and 2,017.38 is: 2,783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.47 : 4,842.82 = 2,017.38 : x
  2. Step 2: Convert to fraction form
    3,509.47/4,842.82 = 2,017.38/x
  3. Step 3: Cross multiply
    3,509.47x = 4,842.82 × 2,017.38
  4. Step 4: Simplify right side
    3,509.47x = 9,769,808.21
  5. Step 5: Solve for x
    x = 9,769,808.21/3,509.47
  6. Step 6: Final answer
    x = 2,783.84

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Why These Related Problems?

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