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Finding the Fourth Proportional to 3,768.62, 5,652.93 and 1,302.09

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Solution

The fourth proportional to 3,768.62, 5,652.93 and 1,302.09 is: 1,953.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.62 : 5,652.93 = 1,302.09 : x
  2. Step 2: Convert to fraction form
    3,768.62/5,652.93 = 1,302.09/x
  3. Step 3: Cross multiply
    3,768.62x = 5,652.93 × 1,302.09
  4. Step 4: Simplify right side
    3,768.62x = 7,360,618.74
  5. Step 5: Solve for x
    x = 7,360,618.74/3,768.62
  6. Step 6: Final answer
    x = 1,953.14

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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.