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Finding the Fourth Proportional to 4,780.66, 6,593.65 and 4,190.17

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Solution

The fourth proportional to 4,780.66, 6,593.65 and 4,190.17 is: 5,779.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.66 : 6,593.65 = 4,190.17 : x
  2. Step 2: Convert to fraction form
    4,780.66/6,593.65 = 4,190.17/x
  3. Step 3: Cross multiply
    4,780.66x = 6,593.65 × 4,190.17
  4. Step 4: Simplify right side
    4,780.66x = 27,628,514.42
  5. Step 5: Solve for x
    x = 27,628,514.42/4,780.66
  6. Step 6: Final answer
    x = 5,779.23

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