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Finding the Fourth Proportional to 4,974.60, 7,462.71 and 1,687.98

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Solution

The fourth proportional to 4,974.60, 7,462.71 and 1,687.98 is: 2,532.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.60 : 7,462.71 = 1,687.98 : x
  2. Step 2: Convert to fraction form
    4,974.60/7,462.71 = 1,687.98/x
  3. Step 3: Cross multiply
    4,974.60x = 7,462.71 × 1,687.98
  4. Step 4: Simplify right side
    4,974.60x = 12,596,905.23
  5. Step 5: Solve for x
    x = 12,596,905.23/4,974.60
  6. Step 6: Final answer
    x = 2,532.24

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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.