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Finding the Fourth Proportional to 5,674.34, 8,499.20 and 2,746.50

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Solution

The fourth proportional to 5,674.34, 8,499.20 and 2,746.50 is: 4,113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.34 : 8,499.20 = 2,746.50 : x
  2. Step 2: Convert to fraction form
    5,674.34/8,499.20 = 2,746.50/x
  3. Step 3: Cross multiply
    5,674.34x = 8,499.20 × 2,746.50
  4. Step 4: Simplify right side
    5,674.34x = 23,343,039.07
  5. Step 5: Solve for x
    x = 23,343,039.07/5,674.34
  6. Step 6: Final answer
    x = 4,113.79

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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.