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Finding the Fourth Proportional to 3,738.22, 5,607.51 and 1,655.98

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Solution

The fourth proportional to 3,738.22, 5,607.51 and 1,655.98 is: 2,484.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.22 : 5,607.51 = 1,655.98 : x
  2. Step 2: Convert to fraction form
    3,738.22/5,607.51 = 1,655.98/x
  3. Step 3: Cross multiply
    3,738.22x = 5,607.51 × 1,655.98
  4. Step 4: Simplify right side
    3,738.22x = 9,285,924.41
  5. Step 5: Solve for x
    x = 9,285,924.41/3,738.22
  6. Step 6: Final answer
    x = 2,484.05

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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.