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Finding the Fourth Proportional to 6,055.64, 9,082.72 and 1,613.64

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Solution

The fourth proportional to 6,055.64, 9,082.72 and 1,613.64 is: 2,420.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,055.64 : 9,082.72 = 1,613.64 : x
  2. Step 2: Convert to fraction form
    6,055.64/9,082.72 = 1,613.64/x
  3. Step 3: Cross multiply
    6,055.64x = 9,082.72 × 1,613.64
  4. Step 4: Simplify right side
    6,055.64x = 14,656,240.30
  5. Step 5: Solve for x
    x = 14,656,240.30/6,055.64
  6. Step 6: Final answer
    x = 2,420.26

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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.