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Finding the Fourth Proportional to 3,994.47, 5,512.35 and 2,316.86

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Solution

The fourth proportional to 3,994.47, 5,512.35 and 2,316.86 is: 3,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.47 : 5,512.35 = 2,316.86 : x
  2. Step 2: Convert to fraction form
    3,994.47/5,512.35 = 2,316.86/x
  3. Step 3: Cross multiply
    3,994.47x = 5,512.35 × 2,316.86
  4. Step 4: Simplify right side
    3,994.47x = 12,771,315.66
  5. Step 5: Solve for x
    x = 12,771,315.66/3,994.47
  6. Step 6: Final answer
    x = 3,197.25

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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.