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Finding the Fourth Proportional to 3,236, 4,465.68 and 1,764

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Solution

The fourth proportional to 3,236, 4,465.68 and 1,764 is: 2,434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,236 : 4,465.68 = 1,764 : x
  2. Step 2: Convert to fraction form
    3,236/4,465.68 = 1,764/x
  3. Step 3: Cross multiply
    3,236x = 4,465.68 × 1,764
  4. Step 4: Simplify right side
    3,236x = 7,877,459.52
  5. Step 5: Solve for x
    x = 7,877,459.52/3,236
  6. Step 6: Final answer
    x = 2,434.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.