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Finding the Fourth Proportional to 4,950.76, 7,423.40 and 1,617.42

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Solution

The fourth proportional to 4,950.76, 7,423.40 and 1,617.42 is: 2,425.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.76 : 7,423.40 = 1,617.42 : x
  2. Step 2: Convert to fraction form
    4,950.76/7,423.40 = 1,617.42/x
  3. Step 3: Cross multiply
    4,950.76x = 7,423.40 × 1,617.42
  4. Step 4: Simplify right side
    4,950.76x = 12,006,755.63
  5. Step 5: Solve for x
    x = 12,006,755.63/4,950.76
  6. Step 6: Final answer
    x = 2,425.23

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