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Finding the Fourth Proportional to 3,574.96, 4,933.58 and 2,003

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Solution

The fourth proportional to 3,574.96, 4,933.58 and 2,003 is: 2,764.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.96 : 4,933.58 = 2,003 : x
  2. Step 2: Convert to fraction form
    3,574.96/4,933.58 = 2,003/x
  3. Step 3: Cross multiply
    3,574.96x = 4,933.58 × 2,003
  4. Step 4: Simplify right side
    3,574.96x = 9,881,960.74
  5. Step 5: Solve for x
    x = 9,881,960.74/3,574.96
  6. Step 6: Final answer
    x = 2,764.22

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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.