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Finding the Fourth Proportional to 3,537.57, 4,881.06 and 2,045.45

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Solution

The fourth proportional to 3,537.57, 4,881.06 and 2,045.45 is: 2,822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.57 : 4,881.06 = 2,045.45 : x
  2. Step 2: Convert to fraction form
    3,537.57/4,881.06 = 2,045.45/x
  3. Step 3: Cross multiply
    3,537.57x = 4,881.06 × 2,045.45
  4. Step 4: Simplify right side
    3,537.57x = 9,983,976.38
  5. Step 5: Solve for x
    x = 9,983,976.38/3,537.57
  6. Step 6: Final answer
    x = 2,822.27

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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.