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Finding the Fourth Proportional to 6,166.04, 8,509.44 and 3,649.59

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Solution

The fourth proportional to 6,166.04, 8,509.44 and 3,649.59 is: 5,036.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.04 : 8,509.44 = 3,649.59 : x
  2. Step 2: Convert to fraction form
    6,166.04/8,509.44 = 3,649.59/x
  3. Step 3: Cross multiply
    6,166.04x = 8,509.44 × 3,649.59
  4. Step 4: Simplify right side
    6,166.04x = 31,055,967.13
  5. Step 5: Solve for x
    x = 31,055,967.13/6,166.04
  6. Step 6: Final answer
    x = 5,036.62

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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.