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Finding the Fourth Proportional to 5,541.99, 8,314.36 and 1,646.39

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Solution

The fourth proportional to 5,541.99, 8,314.36 and 1,646.39 is: 2,469.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.99 : 8,314.36 = 1,646.39 : x
  2. Step 2: Convert to fraction form
    5,541.99/8,314.36 = 1,646.39/x
  3. Step 3: Cross multiply
    5,541.99x = 8,314.36 × 1,646.39
  4. Step 4: Simplify right side
    5,541.99x = 13,688,670.93
  5. Step 5: Solve for x
    x = 13,688,670.93/5,541.99
  6. Step 6: Final answer
    x = 2,469.99

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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.