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Finding the Fourth Proportional to 5,095.84, 7,647.60 and 4,082.08

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Solution

The fourth proportional to 5,095.84, 7,647.60 and 4,082.08 is: 6,126.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.84 : 7,647.60 = 4,082.08 : x
  2. Step 2: Convert to fraction form
    5,095.84/7,647.60 = 4,082.08/x
  3. Step 3: Cross multiply
    5,095.84x = 7,647.60 × 4,082.08
  4. Step 4: Simplify right side
    5,095.84x = 31,218,115.01
  5. Step 5: Solve for x
    x = 31,218,115.01/5,095.84
  6. Step 6: Final answer
    x = 6,126.20

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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.