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Finding the Fourth Proportional to 5,262.75, 7,894.17 and 1,800

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Solution

The fourth proportional to 5,262.75, 7,894.17 and 1,800 is: 2,700.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.75 : 7,894.17 = 1,800 : x
  2. Step 2: Convert to fraction form
    5,262.75/7,894.17 = 1,800/x
  3. Step 3: Cross multiply
    5,262.75x = 7,894.17 × 1,800
  4. Step 4: Simplify right side
    5,262.75x = 14,209,506
  5. Step 5: Solve for x
    x = 14,209,506/5,262.75
  6. Step 6: Final answer
    x = 2,700.02

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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.