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Finding the Fourth Proportional to 6,053.10, 9,082.42 and 3,129.82

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Solution

The fourth proportional to 6,053.10, 9,082.42 and 3,129.82 is: 4,696.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,053.10 : 9,082.42 = 3,129.82 : x
  2. Step 2: Convert to fraction form
    6,053.10/9,082.42 = 3,129.82/x
  3. Step 3: Cross multiply
    6,053.10x = 9,082.42 × 3,129.82
  4. Step 4: Simplify right side
    6,053.10x = 28,426,339.76
  5. Step 5: Solve for x
    x = 28,426,339.76/6,053.10
  6. Step 6: Final answer
    x = 4,696.16

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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.