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Finding the Fourth Proportional to 3,528.96, 5,290.74 and 2,049

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Solution

The fourth proportional to 3,528.96, 5,290.74 and 2,049 is: 3,071.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528.96 : 5,290.74 = 2,049 : x
  2. Step 2: Convert to fraction form
    3,528.96/5,290.74 = 2,049/x
  3. Step 3: Cross multiply
    3,528.96x = 5,290.74 × 2,049
  4. Step 4: Simplify right side
    3,528.96x = 10,840,726.26
  5. Step 5: Solve for x
    x = 10,840,726.26/3,528.96
  6. Step 6: Final answer
    x = 3,071.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.