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Finding the Fourth Proportional to 4,773.03, 7,151.64 and 1,849.74

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Solution

The fourth proportional to 4,773.03, 7,151.64 and 1,849.74 is: 2,771.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.03 : 7,151.64 = 1,849.74 : x
  2. Step 2: Convert to fraction form
    4,773.03/7,151.64 = 1,849.74/x
  3. Step 3: Cross multiply
    4,773.03x = 7,151.64 × 1,849.74
  4. Step 4: Simplify right side
    4,773.03x = 13,228,674.57
  5. Step 5: Solve for x
    x = 13,228,674.57/4,773.03
  6. Step 6: Final answer
    x = 2,771.55

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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.