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Finding the Fourth Proportional to 5,674.30, 8,511.45 and 5,058.70

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Solution

The fourth proportional to 5,674.30, 8,511.45 and 5,058.70 is: 7,588.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.30 : 8,511.45 = 5,058.70 : x
  2. Step 2: Convert to fraction form
    5,674.30/8,511.45 = 5,058.70/x
  3. Step 3: Cross multiply
    5,674.30x = 8,511.45 × 5,058.70
  4. Step 4: Simplify right side
    5,674.30x = 43,056,872.12
  5. Step 5: Solve for x
    x = 43,056,872.12/5,674.30
  6. Step 6: Final answer
    x = 7,588.05

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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.