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Finding the Fourth Proportional to 4,716.25, 7,074.51 and 1,253.50

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Solution

The fourth proportional to 4,716.25, 7,074.51 and 1,253.50 is: 1,880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.25 : 7,074.51 = 1,253.50 : x
  2. Step 2: Convert to fraction form
    4,716.25/7,074.51 = 1,253.50/x
  3. Step 3: Cross multiply
    4,716.25x = 7,074.51 × 1,253.50
  4. Step 4: Simplify right side
    4,716.25x = 8,867,898.29
  5. Step 5: Solve for x
    x = 8,867,898.29/4,716.25
  6. Step 6: Final answer
    x = 1,880.29

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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.