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Finding the Fourth Proportional to 5,564.40, 7,678.58 and 3,046.38

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Solution

The fourth proportional to 5,564.40, 7,678.58 and 3,046.38 is: 4,203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.40 : 7,678.58 = 3,046.38 : x
  2. Step 2: Convert to fraction form
    5,564.40/7,678.58 = 3,046.38/x
  3. Step 3: Cross multiply
    5,564.40x = 7,678.58 × 3,046.38
  4. Step 4: Simplify right side
    5,564.40x = 23,391,857.31
  5. Step 5: Solve for x
    x = 23,391,857.31/5,564.40
  6. Step 6: Final answer
    x = 4,203.84

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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.