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Finding the Fourth Proportional to 3,852.96, 5,780.16 and 1,544.64

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Solution

The fourth proportional to 3,852.96, 5,780.16 and 1,544.64 is: 2,317.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.96 : 5,780.16 = 1,544.64 : x
  2. Step 2: Convert to fraction form
    3,852.96/5,780.16 = 1,544.64/x
  3. Step 3: Cross multiply
    3,852.96x = 5,780.16 × 1,544.64
  4. Step 4: Simplify right side
    3,852.96x = 8,928,266.34
  5. Step 5: Solve for x
    x = 8,928,266.34/3,852.96
  6. Step 6: Final answer
    x = 2,317.25

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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.