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Finding the Fourth Proportional to 4,690.24, 7,000.72 and 4,136.84

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Solution

The fourth proportional to 4,690.24, 7,000.72 and 4,136.84 is: 6,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.24 : 7,000.72 = 4,136.84 : x
  2. Step 2: Convert to fraction form
    4,690.24/7,000.72 = 4,136.84/x
  3. Step 3: Cross multiply
    4,690.24x = 7,000.72 × 4,136.84
  4. Step 4: Simplify right side
    4,690.24x = 28,960,858.52
  5. Step 5: Solve for x
    x = 28,960,858.52/4,690.24
  6. Step 6: Final answer
    x = 6,174.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.