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Finding the Fourth Proportional to 5,054.46, 7,609.82 and 4,442.10

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Solution

The fourth proportional to 5,054.46, 7,609.82 and 4,442.10 is: 6,687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.46 : 7,609.82 = 4,442.10 : x
  2. Step 2: Convert to fraction form
    5,054.46/7,609.82 = 4,442.10/x
  3. Step 3: Cross multiply
    5,054.46x = 7,609.82 × 4,442.10
  4. Step 4: Simplify right side
    5,054.46x = 33,803,581.42
  5. Step 5: Solve for x
    x = 33,803,581.42/5,054.46
  6. Step 6: Final answer
    x = 6,687.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.