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Finding the Fourth Proportional to 5,461.64, 8,187.96 and 4,534.64

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Solution

The fourth proportional to 5,461.64, 8,187.96 and 4,534.64 is: 6,798.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.64 : 8,187.96 = 4,534.64 : x
  2. Step 2: Convert to fraction form
    5,461.64/8,187.96 = 4,534.64/x
  3. Step 3: Cross multiply
    5,461.64x = 8,187.96 × 4,534.64
  4. Step 4: Simplify right side
    5,461.64x = 37,129,450.93
  5. Step 5: Solve for x
    x = 37,129,450.93/5,461.64
  6. Step 6: Final answer
    x = 6,798.22

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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.