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Finding the Fourth Proportional to 5,810.94, 8,702.54 and 3,174.50

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Solution

The fourth proportional to 5,810.94, 8,702.54 and 3,174.50 is: 4,754.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.94 : 8,702.54 = 3,174.50 : x
  2. Step 2: Convert to fraction form
    5,810.94/8,702.54 = 3,174.50/x
  3. Step 3: Cross multiply
    5,810.94x = 8,702.54 × 3,174.50
  4. Step 4: Simplify right side
    5,810.94x = 27,626,213.23
  5. Step 5: Solve for x
    x = 27,626,213.23/5,810.94
  6. Step 6: Final answer
    x = 4,754.17

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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.