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Finding the Fourth Proportional to 5,867.40, 8,802.60 and 3,397.80

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Solution

The fourth proportional to 5,867.40, 8,802.60 and 3,397.80 is: 5,097.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.40 : 8,802.60 = 3,397.80 : x
  2. Step 2: Convert to fraction form
    5,867.40/8,802.60 = 3,397.80/x
  3. Step 3: Cross multiply
    5,867.40x = 8,802.60 × 3,397.80
  4. Step 4: Simplify right side
    5,867.40x = 29,909,474.28
  5. Step 5: Solve for x
    x = 29,909,474.28/5,867.40
  6. Step 6: Final answer
    x = 5,097.57

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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.