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Finding the Fourth Proportional to 5,141.57, 7,712.28 and 1,246.01

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Solution

The fourth proportional to 5,141.57, 7,712.28 and 1,246.01 is: 1,868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.57 : 7,712.28 = 1,246.01 : x
  2. Step 2: Convert to fraction form
    5,141.57/7,712.28 = 1,246.01/x
  3. Step 3: Cross multiply
    5,141.57x = 7,712.28 × 1,246.01
  4. Step 4: Simplify right side
    5,141.57x = 9,609,539.44
  5. Step 5: Solve for x
    x = 9,609,539.44/5,141.57
  6. Step 6: Final answer
    x = 1,868.99

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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.