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Finding the Fourth Proportional to 3,844.64, 5,770.20 and 1,655

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Solution

The fourth proportional to 3,844.64, 5,770.20 and 1,655 is: 2,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.64 : 5,770.20 = 1,655 : x
  2. Step 2: Convert to fraction form
    3,844.64/5,770.20 = 1,655/x
  3. Step 3: Cross multiply
    3,844.64x = 5,770.20 × 1,655
  4. Step 4: Simplify right side
    3,844.64x = 9,549,681
  5. Step 5: Solve for x
    x = 9,549,681/3,844.64
  6. Step 6: Final answer
    x = 2,483.89

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