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Finding the Fourth Proportional to 7,599.80, 11,398.56 and 2,405

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Solution

The fourth proportional to 7,599.80, 11,398.56 and 2,405 is: 3,607.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,599.80 : 11,398.56 = 2,405 : x
  2. Step 2: Convert to fraction form
    7,599.80/11,398.56 = 2,405/x
  3. Step 3: Cross multiply
    7,599.80x = 11,398.56 × 2,405
  4. Step 4: Simplify right side
    7,599.80x = 27,413,536.80
  5. Step 5: Solve for x
    x = 27,413,536.80/7,599.80
  6. Step 6: Final answer
    x = 3,607.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.