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Finding the Fourth Proportional to 4,187.50, 6,284.13 and 1,451.50

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Solution

The fourth proportional to 4,187.50, 6,284.13 and 1,451.50 is: 2,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.50 : 6,284.13 = 1,451.50 : x
  2. Step 2: Convert to fraction form
    4,187.50/6,284.13 = 1,451.50/x
  3. Step 3: Cross multiply
    4,187.50x = 6,284.13 × 1,451.50
  4. Step 4: Simplify right side
    4,187.50x = 9,121,414.70
  5. Step 5: Solve for x
    x = 9,121,414.70/4,187.50
  6. Step 6: Final answer
    x = 2,178.25

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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.