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Finding the Fourth Proportional to 5,666.36, 8,486.71 and 3,029.20

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Solution

The fourth proportional to 5,666.36, 8,486.71 and 3,029.20 is: 4,536.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.36 : 8,486.71 = 3,029.20 : x
  2. Step 2: Convert to fraction form
    5,666.36/8,486.71 = 3,029.20/x
  3. Step 3: Cross multiply
    5,666.36x = 8,486.71 × 3,029.20
  4. Step 4: Simplify right side
    5,666.36x = 25,707,913.14
  5. Step 5: Solve for x
    x = 25,707,913.14/5,666.36
  6. Step 6: Final answer
    x = 4,536.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.