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Finding the Fourth Proportional to 3,049.64, 4,208.58 and 1,871.36

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Solution

The fourth proportional to 3,049.64, 4,208.58 and 1,871.36 is: 2,582.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.64 : 4,208.58 = 1,871.36 : x
  2. Step 2: Convert to fraction form
    3,049.64/4,208.58 = 1,871.36/x
  3. Step 3: Cross multiply
    3,049.64x = 4,208.58 × 1,871.36
  4. Step 4: Simplify right side
    3,049.64x = 7,875,768.27
  5. Step 5: Solve for x
    x = 7,875,768.27/3,049.64
  6. Step 6: Final answer
    x = 2,582.52

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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.