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Finding the Fourth Proportional to 6,859.60, 9,459.62 and 5,797.39

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Solution

The fourth proportional to 6,859.60, 9,459.62 and 5,797.39 is: 7,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.60 : 9,459.62 = 5,797.39 : x
  2. Step 2: Convert to fraction form
    6,859.60/9,459.62 = 5,797.39/x
  3. Step 3: Cross multiply
    6,859.60x = 9,459.62 × 5,797.39
  4. Step 4: Simplify right side
    6,859.60x = 54,841,106.39
  5. Step 5: Solve for x
    x = 54,841,106.39/6,859.60
  6. Step 6: Final answer
    x = 7,994.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.