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Finding the Fourth Proportional to 3,732.84, 5,152.68 and 2,559.96

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Solution

The fourth proportional to 3,732.84, 5,152.68 and 2,559.96 is: 3,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.84 : 5,152.68 = 2,559.96 : x
  2. Step 2: Convert to fraction form
    3,732.84/5,152.68 = 2,559.96/x
  3. Step 3: Cross multiply
    3,732.84x = 5,152.68 × 2,559.96
  4. Step 4: Simplify right side
    3,732.84x = 13,190,654.69
  5. Step 5: Solve for x
    x = 13,190,654.69/3,732.84
  6. Step 6: Final answer
    x = 3,533.68

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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.