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Finding the Fourth Proportional to 5,802.13, 8,702.17 and 2,681.86

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Solution

The fourth proportional to 5,802.13, 8,702.17 and 2,681.86 is: 4,022.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.13 : 8,702.17 = 2,681.86 : x
  2. Step 2: Convert to fraction form
    5,802.13/8,702.17 = 2,681.86/x
  3. Step 3: Cross multiply
    5,802.13x = 8,702.17 × 2,681.86
  4. Step 4: Simplify right side
    5,802.13x = 23,338,001.64
  5. Step 5: Solve for x
    x = 23,338,001.64/5,802.13
  6. Step 6: Final answer
    x = 4,022.32

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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.