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Finding the Fourth Proportional to 4,395.83, 6,593.69 and 1,764.50

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Solution

The fourth proportional to 4,395.83, 6,593.69 and 1,764.50 is: 2,646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,395.83 : 6,593.69 = 1,764.50 : x
  2. Step 2: Convert to fraction form
    4,395.83/6,593.69 = 1,764.50/x
  3. Step 3: Cross multiply
    4,395.83x = 6,593.69 × 1,764.50
  4. Step 4: Simplify right side
    4,395.83x = 11,634,537.45
  5. Step 5: Solve for x
    x = 11,634,537.45/4,395.83
  6. Step 6: Final answer
    x = 2,646.72

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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.