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Finding the Fourth Proportional to 5,677.85, 8,530.61 and 5,363.12

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Solution

The fourth proportional to 5,677.85, 8,530.61 and 5,363.12 is: 8,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.85 : 8,530.61 = 5,363.12 : x
  2. Step 2: Convert to fraction form
    5,677.85/8,530.61 = 5,363.12/x
  3. Step 3: Cross multiply
    5,677.85x = 8,530.61 × 5,363.12
  4. Step 4: Simplify right side
    5,677.85x = 45,750,615.63
  5. Step 5: Solve for x
    x = 45,750,615.63/5,677.85
  6. Step 6: Final answer
    x = 8,057.74

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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.