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Finding the Fourth Proportional to 4,210, 6,315 and 1,288.30

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Solution

The fourth proportional to 4,210, 6,315 and 1,288.30 is: 1,932.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210 : 6,315 = 1,288.30 : x
  2. Step 2: Convert to fraction form
    4,210/6,315 = 1,288.30/x
  3. Step 3: Cross multiply
    4,210x = 6,315 × 1,288.30
  4. Step 4: Simplify right side
    4,210x = 8,135,614.50
  5. Step 5: Solve for x
    x = 8,135,614.50/4,210
  6. Step 6: Final answer
    x = 1,932.45

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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.