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Finding the Fourth Proportional to 4,597.89, 6,899.11 and 1,824.50

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Solution

The fourth proportional to 4,597.89, 6,899.11 and 1,824.50 is: 2,737.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.89 : 6,899.11 = 1,824.50 : x
  2. Step 2: Convert to fraction form
    4,597.89/6,899.11 = 1,824.50/x
  3. Step 3: Cross multiply
    4,597.89x = 6,899.11 × 1,824.50
  4. Step 4: Simplify right side
    4,597.89x = 12,587,426.20
  5. Step 5: Solve for x
    x = 12,587,426.20/4,597.89
  6. Step 6: Final answer
    x = 2,737.65

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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.