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Finding the Fourth Proportional to 4,391.84, 6,588.48 and 2,082.08

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Solution

The fourth proportional to 4,391.84, 6,588.48 and 2,082.08 is: 3,123.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,391.84 : 6,588.48 = 2,082.08 : x
  2. Step 2: Convert to fraction form
    4,391.84/6,588.48 = 2,082.08/x
  3. Step 3: Cross multiply
    4,391.84x = 6,588.48 × 2,082.08
  4. Step 4: Simplify right side
    4,391.84x = 13,717,742.44
  5. Step 5: Solve for x
    x = 13,717,742.44/4,391.84
  6. Step 6: Final answer
    x = 3,123.46

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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.