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Finding the Fourth Proportional to 4,599.46, 6,895.05 and 1,824.76

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Solution

The fourth proportional to 4,599.46, 6,895.05 and 1,824.76 is: 2,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.46 : 6,895.05 = 1,824.76 : x
  2. Step 2: Convert to fraction form
    4,599.46/6,895.05 = 1,824.76/x
  3. Step 3: Cross multiply
    4,599.46x = 6,895.05 × 1,824.76
  4. Step 4: Simplify right side
    4,599.46x = 12,581,811.44
  5. Step 5: Solve for x
    x = 12,581,811.44/4,599.46
  6. Step 6: Final answer
    x = 2,735.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.