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Finding the Fourth Proportional to 5,985.66, 8,260.74 and 3,629.10

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Solution

The fourth proportional to 5,985.66, 8,260.74 and 3,629.10 is: 5,008.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.66 : 8,260.74 = 3,629.10 : x
  2. Step 2: Convert to fraction form
    5,985.66/8,260.74 = 3,629.10/x
  3. Step 3: Cross multiply
    5,985.66x = 8,260.74 × 3,629.10
  4. Step 4: Simplify right side
    5,985.66x = 29,979,051.53
  5. Step 5: Solve for x
    x = 29,979,051.53/5,985.66
  6. Step 6: Final answer
    x = 5,008.48

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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.