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Finding the Fourth Proportional to 3,852.96, 5,780.52 and 1,546.08

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Solution

The fourth proportional to 3,852.96, 5,780.52 and 1,546.08 is: 2,319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.96 : 5,780.52 = 1,546.08 : x
  2. Step 2: Convert to fraction form
    3,852.96/5,780.52 = 1,546.08/x
  3. Step 3: Cross multiply
    3,852.96x = 5,780.52 × 1,546.08
  4. Step 4: Simplify right side
    3,852.96x = 8,937,146.36
  5. Step 5: Solve for x
    x = 8,937,146.36/3,852.96
  6. Step 6: Final answer
    x = 2,319.55

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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.