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Finding the Fourth Proportional to 5,655.40, 8,477.97 and 2,144.74

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Solution

The fourth proportional to 5,655.40, 8,477.97 and 2,144.74 is: 3,215.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.40 : 8,477.97 = 2,144.74 : x
  2. Step 2: Convert to fraction form
    5,655.40/8,477.97 = 2,144.74/x
  3. Step 3: Cross multiply
    5,655.40x = 8,477.97 × 2,144.74
  4. Step 4: Simplify right side
    5,655.40x = 18,183,041.38
  5. Step 5: Solve for x
    x = 18,183,041.38/5,655.40
  6. Step 6: Final answer
    x = 3,215.16

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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.