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Finding the Fourth Proportional to 5,674.68, 7,838.64 and 4,624.92

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Solution

The fourth proportional to 5,674.68, 7,838.64 and 4,624.92 is: 6,388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.68 : 7,838.64 = 4,624.92 : x
  2. Step 2: Convert to fraction form
    5,674.68/7,838.64 = 4,624.92/x
  3. Step 3: Cross multiply
    5,674.68x = 7,838.64 × 4,624.92
  4. Step 4: Simplify right side
    5,674.68x = 36,253,082.91
  5. Step 5: Solve for x
    x = 36,253,082.91/5,674.68
  6. Step 6: Final answer
    x = 6,388.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.