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Finding the Fourth Proportional to 5,802.31, 8,702.07 and 4,062.88

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Solution

The fourth proportional to 5,802.31, 8,702.07 and 4,062.88 is: 6,093.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.31 : 8,702.07 = 4,062.88 : x
  2. Step 2: Convert to fraction form
    5,802.31/8,702.07 = 4,062.88/x
  3. Step 3: Cross multiply
    5,802.31x = 8,702.07 × 4,062.88
  4. Step 4: Simplify right side
    5,802.31x = 35,355,466.16
  5. Step 5: Solve for x
    x = 35,355,466.16/5,802.31
  6. Step 6: Final answer
    x = 6,093.34

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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.