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Finding the Fourth Proportional to 4,353, 6,530.76 and 1,275

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Solution

The fourth proportional to 4,353, 6,530.76 and 1,275 is: 1,912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,353 : 6,530.76 = 1,275 : x
  2. Step 2: Convert to fraction form
    4,353/6,530.76 = 1,275/x
  3. Step 3: Cross multiply
    4,353x = 6,530.76 × 1,275
  4. Step 4: Simplify right side
    4,353x = 8,326,719
  5. Step 5: Solve for x
    x = 8,326,719/4,353
  6. Step 6: Final answer
    x = 1,912.87

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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.