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Finding the Fourth Proportional to 5,802.80, 8,702.13 and 2,104.07

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Solution

The fourth proportional to 5,802.80, 8,702.13 and 2,104.07 is: 3,155.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.80 : 8,702.13 = 2,104.07 : x
  2. Step 2: Convert to fraction form
    5,802.80/8,702.13 = 2,104.07/x
  3. Step 3: Cross multiply
    5,802.80x = 8,702.13 × 2,104.07
  4. Step 4: Simplify right side
    5,802.80x = 18,309,890.67
  5. Step 5: Solve for x
    x = 18,309,890.67/5,802.80
  6. Step 6: Final answer
    x = 3,155.35

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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.