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Finding the Fourth Proportional to 4,733.85, 7,102.40 and 1,812.99

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Solution

The fourth proportional to 4,733.85, 7,102.40 and 1,812.99 is: 2,720.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.85 : 7,102.40 = 1,812.99 : x
  2. Step 2: Convert to fraction form
    4,733.85/7,102.40 = 1,812.99/x
  3. Step 3: Cross multiply
    4,733.85x = 7,102.40 × 1,812.99
  4. Step 4: Simplify right side
    4,733.85x = 12,876,580.18
  5. Step 5: Solve for x
    x = 12,876,580.18/4,733.85
  6. Step 6: Final answer
    x = 2,720.11

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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.