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Finding the Fourth Proportional to 5,580.38, 7,702.74 and 4,013.03

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Solution

The fourth proportional to 5,580.38, 7,702.74 and 4,013.03 is: 5,539.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580.38 : 7,702.74 = 4,013.03 : x
  2. Step 2: Convert to fraction form
    5,580.38/7,702.74 = 4,013.03/x
  3. Step 3: Cross multiply
    5,580.38x = 7,702.74 × 4,013.03
  4. Step 4: Simplify right side
    5,580.38x = 30,911,288.19
  5. Step 5: Solve for x
    x = 30,911,288.19/5,580.38
  6. Step 6: Final answer
    x = 5,539.29

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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.