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Finding the Fourth Proportional to 4,603.65, 6,905.42 and 3,043.27

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Solution

The fourth proportional to 4,603.65, 6,905.42 and 3,043.27 is: 4,564.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.65 : 6,905.42 = 3,043.27 : x
  2. Step 2: Convert to fraction form
    4,603.65/6,905.42 = 3,043.27/x
  3. Step 3: Cross multiply
    4,603.65x = 6,905.42 × 3,043.27
  4. Step 4: Simplify right side
    4,603.65x = 21,015,057.52
  5. Step 5: Solve for x
    x = 21,015,057.52/4,603.65
  6. Step 6: Final answer
    x = 4,564.87

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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.