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Finding the Fourth Proportional to 4,599.67, 6,898.29 and 2,002

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Solution

The fourth proportional to 4,599.67, 6,898.29 and 2,002 is: 3,002.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.67 : 6,898.29 = 2,002 : x
  2. Step 2: Convert to fraction form
    4,599.67/6,898.29 = 2,002/x
  3. Step 3: Cross multiply
    4,599.67x = 6,898.29 × 2,002
  4. Step 4: Simplify right side
    4,599.67x = 13,810,376.58
  5. Step 5: Solve for x
    x = 13,810,376.58/4,599.67
  6. Step 6: Final answer
    x = 3,002.47

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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.