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Finding the Fourth Proportional to 4,604.92, 6,874.55 and 4,442.92

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Solution

The fourth proportional to 4,604.92, 6,874.55 and 4,442.92 is: 6,632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.92 : 6,874.55 = 4,442.92 : x
  2. Step 2: Convert to fraction form
    4,604.92/6,874.55 = 4,442.92/x
  3. Step 3: Cross multiply
    4,604.92x = 6,874.55 × 4,442.92
  4. Step 4: Simplify right side
    4,604.92x = 30,543,075.69
  5. Step 5: Solve for x
    x = 30,543,075.69/4,604.92
  6. Step 6: Final answer
    x = 6,632.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.