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Finding the Fourth Proportional to 5,564.84, 7,679.42 and 3,046.93

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Solution

The fourth proportional to 5,564.84, 7,679.42 and 3,046.93 is: 4,204.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.84 : 7,679.42 = 3,046.93 : x
  2. Step 2: Convert to fraction form
    5,564.84/7,679.42 = 3,046.93/x
  3. Step 3: Cross multiply
    5,564.84x = 7,679.42 × 3,046.93
  4. Step 4: Simplify right side
    5,564.84x = 23,398,655.18
  5. Step 5: Solve for x
    x = 23,398,655.18/5,564.84
  6. Step 6: Final answer
    x = 4,204.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.