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Finding the Fourth Proportional to 3,844.93, 5,770.23 and 1,655.30

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Solution

The fourth proportional to 3,844.93, 5,770.23 and 1,655.30 is: 2,484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.93 : 5,770.23 = 1,655.30 : x
  2. Step 2: Convert to fraction form
    3,844.93/5,770.23 = 1,655.30/x
  3. Step 3: Cross multiply
    3,844.93x = 5,770.23 × 1,655.30
  4. Step 4: Simplify right side
    3,844.93x = 9,551,424.59
  5. Step 5: Solve for x
    x = 9,551,424.59/3,844.93
  6. Step 6: Final answer
    x = 2,484.16

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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.