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Finding the Fourth Proportional to 5,537.80, 8,263.31 and 5,505.40

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Solution

The fourth proportional to 5,537.80, 8,263.31 and 5,505.40 is: 8,214.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.80 : 8,263.31 = 5,505.40 : x
  2. Step 2: Convert to fraction form
    5,537.80/8,263.31 = 5,505.40/x
  3. Step 3: Cross multiply
    5,537.80x = 8,263.31 × 5,505.40
  4. Step 4: Simplify right side
    5,537.80x = 45,492,826.87
  5. Step 5: Solve for x
    x = 45,492,826.87/5,537.80
  6. Step 6: Final answer
    x = 8,214.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.