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Finding the Fourth Proportional to 5,801.52, 8,702.32 and 2,876.88

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Solution

The fourth proportional to 5,801.52, 8,702.32 and 2,876.88 is: 4,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.52 : 8,702.32 = 2,876.88 : x
  2. Step 2: Convert to fraction form
    5,801.52/8,702.32 = 2,876.88/x
  3. Step 3: Cross multiply
    5,801.52x = 8,702.32 × 2,876.88
  4. Step 4: Simplify right side
    5,801.52x = 25,035,530.36
  5. Step 5: Solve for x
    x = 25,035,530.36/5,801.52
  6. Step 6: Final answer
    x = 4,315.34

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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.