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Finding the Fourth Proportional to 5,756.40, 8,627.04 and 4,451.76

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Solution

The fourth proportional to 5,756.40, 8,627.04 and 4,451.76 is: 6,671.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.40 : 8,627.04 = 4,451.76 : x
  2. Step 2: Convert to fraction form
    5,756.40/8,627.04 = 4,451.76/x
  3. Step 3: Cross multiply
    5,756.40x = 8,627.04 × 4,451.76
  4. Step 4: Simplify right side
    5,756.40x = 38,405,511.59
  5. Step 5: Solve for x
    x = 38,405,511.59/5,756.40
  6. Step 6: Final answer
    x = 6,671.79

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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.