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Finding the Fourth Proportional to 5,362.60, 8,038.94 and 2,439

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Solution

The fourth proportional to 5,362.60, 8,038.94 and 2,439 is: 3,656.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.60 : 8,038.94 = 2,439 : x
  2. Step 2: Convert to fraction form
    5,362.60/8,038.94 = 2,439/x
  3. Step 3: Cross multiply
    5,362.60x = 8,038.94 × 2,439
  4. Step 4: Simplify right side
    5,362.60x = 19,606,974.66
  5. Step 5: Solve for x
    x = 19,606,974.66/5,362.60
  6. Step 6: Final answer
    x = 3,656.24

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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.