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Finding the Fourth Proportional to 5,987.82, 8,262.14 and 3,470.24

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Solution

The fourth proportional to 5,987.82, 8,262.14 and 3,470.24 is: 4,788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,987.82 : 8,262.14 = 3,470.24 : x
  2. Step 2: Convert to fraction form
    5,987.82/8,262.14 = 3,470.24/x
  3. Step 3: Cross multiply
    5,987.82x = 8,262.14 × 3,470.24
  4. Step 4: Simplify right side
    5,987.82x = 28,671,608.71
  5. Step 5: Solve for x
    x = 28,671,608.71/5,987.82
  6. Step 6: Final answer
    x = 4,788.32

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