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Finding the Fourth Proportional to 4,275, 6,412.50 and 1,353.53

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Solution

The fourth proportional to 4,275, 6,412.50 and 1,353.53 is: 2,030.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275 : 6,412.50 = 1,353.53 : x
  2. Step 2: Convert to fraction form
    4,275/6,412.50 = 1,353.53/x
  3. Step 3: Cross multiply
    4,275x = 6,412.50 × 1,353.53
  4. Step 4: Simplify right side
    4,275x = 8,679,511.13
  5. Step 5: Solve for x
    x = 8,679,511.13/4,275
  6. Step 6: Final answer
    x = 2,030.30

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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.