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Finding the Fourth Proportional to 3,031.58, 4,191.10 and 3,003.91

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Solution

The fourth proportional to 3,031.58, 4,191.10 and 3,003.91 is: 4,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.58 : 4,191.10 = 3,003.91 : x
  2. Step 2: Convert to fraction form
    3,031.58/4,191.10 = 3,003.91/x
  3. Step 3: Cross multiply
    3,031.58x = 4,191.10 × 3,003.91
  4. Step 4: Simplify right side
    3,031.58x = 12,589,669.21
  5. Step 5: Solve for x
    x = 12,589,669.21/3,031.58
  6. Step 6: Final answer
    x = 4,152.84

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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.