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Finding the Fourth Proportional to 6,583.49, 9,036.85 and 5,820.74

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Solution

The fourth proportional to 6,583.49, 9,036.85 and 5,820.74 is: 7,989.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.49 : 9,036.85 = 5,820.74 : x
  2. Step 2: Convert to fraction form
    6,583.49/9,036.85 = 5,820.74/x
  3. Step 3: Cross multiply
    6,583.49x = 9,036.85 × 5,820.74
  4. Step 4: Simplify right side
    6,583.49x = 52,601,094.53
  5. Step 5: Solve for x
    x = 52,601,094.53/6,583.49
  6. Step 6: Final answer
    x = 7,989.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.