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Finding the Fourth Proportional to 4,175.94, 6,264.03 and 1,402.50

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Solution

The fourth proportional to 4,175.94, 6,264.03 and 1,402.50 is: 2,103.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.94 : 6,264.03 = 1,402.50 : x
  2. Step 2: Convert to fraction form
    4,175.94/6,264.03 = 1,402.50/x
  3. Step 3: Cross multiply
    4,175.94x = 6,264.03 × 1,402.50
  4. Step 4: Simplify right side
    4,175.94x = 8,785,302.08
  5. Step 5: Solve for x
    x = 8,785,302.08/4,175.94
  6. Step 6: Final answer
    x = 2,103.79

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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.