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Finding the Fourth Proportional to 5,804.62, 8,702.46 and 2,880.65

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Solution

The fourth proportional to 5,804.62, 8,702.46 and 2,880.65 is: 4,318.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.62 : 8,702.46 = 2,880.65 : x
  2. Step 2: Convert to fraction form
    5,804.62/8,702.46 = 2,880.65/x
  3. Step 3: Cross multiply
    5,804.62x = 8,702.46 × 2,880.65
  4. Step 4: Simplify right side
    5,804.62x = 25,068,763.16
  5. Step 5: Solve for x
    x = 25,068,763.16/5,804.62
  6. Step 6: Final answer
    x = 4,318.76

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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.