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Finding the Fourth Proportional to 4,992.65, 7,491.10 and 1,874.15

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Solution

The fourth proportional to 4,992.65, 7,491.10 and 1,874.15 is: 2,812.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.65 : 7,491.10 = 1,874.15 : x
  2. Step 2: Convert to fraction form
    4,992.65/7,491.10 = 1,874.15/x
  3. Step 3: Cross multiply
    4,992.65x = 7,491.10 × 1,874.15
  4. Step 4: Simplify right side
    4,992.65x = 14,039,445.07
  5. Step 5: Solve for x
    x = 14,039,445.07/4,992.65
  6. Step 6: Final answer
    x = 2,812.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.