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Finding the Fourth Proportional to 5,834.46, 8,756.96 and 4,254.60

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Solution

The fourth proportional to 5,834.46, 8,756.96 and 4,254.60 is: 6,385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.46 : 8,756.96 = 4,254.60 : x
  2. Step 2: Convert to fraction form
    5,834.46/8,756.96 = 4,254.60/x
  3. Step 3: Cross multiply
    5,834.46x = 8,756.96 × 4,254.60
  4. Step 4: Simplify right side
    5,834.46x = 37,257,340.74
  5. Step 5: Solve for x
    x = 37,257,340.74/5,834.46
  6. Step 6: Final answer
    x = 6,385.74

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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.