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Finding the Fourth Proportional to 4,973.34, 7,463.34 and 2,784

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Solution

The fourth proportional to 4,973.34, 7,463.34 and 2,784 is: 4,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.34 : 7,463.34 = 2,784 : x
  2. Step 2: Convert to fraction form
    4,973.34/7,463.34 = 2,784/x
  3. Step 3: Cross multiply
    4,973.34x = 7,463.34 × 2,784
  4. Step 4: Simplify right side
    4,973.34x = 20,777,938.56
  5. Step 5: Solve for x
    x = 20,777,938.56/4,973.34
  6. Step 6: Final answer
    x = 4,177.86

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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.