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Finding the Fourth Proportional to 4,230.66, 6,348.28 and 1,765.69

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Solution

The fourth proportional to 4,230.66, 6,348.28 and 1,765.69 is: 2,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.66 : 6,348.28 = 1,765.69 : x
  2. Step 2: Convert to fraction form
    4,230.66/6,348.28 = 1,765.69/x
  3. Step 3: Cross multiply
    4,230.66x = 6,348.28 × 1,765.69
  4. Step 4: Simplify right side
    4,230.66x = 11,209,094.51
  5. Step 5: Solve for x
    x = 11,209,094.51/4,230.66
  6. Step 6: Final answer
    x = 2,649.49

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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.