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Finding the Fourth Proportional to 5,987.76, 8,262.93 and 3,335.14

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Solution

The fourth proportional to 5,987.76, 8,262.93 and 3,335.14 is: 4,602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,987.76 : 8,262.93 = 3,335.14 : x
  2. Step 2: Convert to fraction form
    5,987.76/8,262.93 = 3,335.14/x
  3. Step 3: Cross multiply
    5,987.76x = 8,262.93 × 3,335.14
  4. Step 4: Simplify right side
    5,987.76x = 27,558,028.36
  5. Step 5: Solve for x
    x = 27,558,028.36/5,987.76
  6. Step 6: Final answer
    x = 4,602.39

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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.