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Finding the Fourth Proportional to 5,052.58, 6,972.20 and 2,783.82

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Solution

The fourth proportional to 5,052.58, 6,972.20 and 2,783.82 is: 3,841.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.58 : 6,972.20 = 2,783.82 : x
  2. Step 2: Convert to fraction form
    5,052.58/6,972.20 = 2,783.82/x
  3. Step 3: Cross multiply
    5,052.58x = 6,972.20 × 2,783.82
  4. Step 4: Simplify right side
    5,052.58x = 19,409,374.19
  5. Step 5: Solve for x
    x = 19,409,374.19/5,052.58
  6. Step 6: Final answer
    x = 3,841.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.