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Finding the Fourth Proportional to 3,714.98, 5,539.73 and 3,681.67

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Solution

The fourth proportional to 3,714.98, 5,539.73 and 3,681.67 is: 5,490.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.98 : 5,539.73 = 3,681.67 : x
  2. Step 2: Convert to fraction form
    3,714.98/5,539.73 = 3,681.67/x
  3. Step 3: Cross multiply
    3,714.98x = 5,539.73 × 3,681.67
  4. Step 4: Simplify right side
    3,714.98x = 20,395,448.54
  5. Step 5: Solve for x
    x = 20,395,448.54/3,714.98
  6. Step 6: Final answer
    x = 5,490.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.