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Finding the Fourth Proportional to 4,588.56, 6,882.96 and 1,302

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Solution

The fourth proportional to 4,588.56, 6,882.96 and 1,302 is: 1,953.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588.56 : 6,882.96 = 1,302 : x
  2. Step 2: Convert to fraction form
    4,588.56/6,882.96 = 1,302/x
  3. Step 3: Cross multiply
    4,588.56x = 6,882.96 × 1,302
  4. Step 4: Simplify right side
    4,588.56x = 8,961,613.92
  5. Step 5: Solve for x
    x = 8,961,613.92/4,588.56
  6. Step 6: Final answer
    x = 1,953.03

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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.