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Finding the Fourth Proportional to 5,123.76, 7,687.56 and 2,046

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Solution

The fourth proportional to 5,123.76, 7,687.56 and 2,046 is: 3,069.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.76 : 7,687.56 = 2,046 : x
  2. Step 2: Convert to fraction form
    5,123.76/7,687.56 = 2,046/x
  3. Step 3: Cross multiply
    5,123.76x = 7,687.56 × 2,046
  4. Step 4: Simplify right side
    5,123.76x = 15,728,747.76
  5. Step 5: Solve for x
    x = 15,728,747.76/5,123.76
  6. Step 6: Final answer
    x = 3,069.77

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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.