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Finding the Fourth Proportional to 5,082.13, 7,607.40 and 4,651.48

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Solution

The fourth proportional to 5,082.13, 7,607.40 and 4,651.48 is: 6,962.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.13 : 7,607.40 = 4,651.48 : x
  2. Step 2: Convert to fraction form
    5,082.13/7,607.40 = 4,651.48/x
  3. Step 3: Cross multiply
    5,082.13x = 7,607.40 × 4,651.48
  4. Step 4: Simplify right side
    5,082.13x = 35,385,668.95
  5. Step 5: Solve for x
    x = 35,385,668.95/5,082.13
  6. Step 6: Final answer
    x = 6,962.76

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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.