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Finding the Fourth Proportional to 5,029.56, 7,549.14 and 3,085.56

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Solution

The fourth proportional to 5,029.56, 7,549.14 and 3,085.56 is: 4,631.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,029.56 : 7,549.14 = 3,085.56 : x
  2. Step 2: Convert to fraction form
    5,029.56/7,549.14 = 3,085.56/x
  3. Step 3: Cross multiply
    5,029.56x = 7,549.14 × 3,085.56
  4. Step 4: Simplify right side
    5,029.56x = 23,293,324.42
  5. Step 5: Solve for x
    x = 23,293,324.42/5,029.56
  6. Step 6: Final answer
    x = 4,631.28

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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.