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Finding the Fourth Proportional to 3,975.61, 5,488.11 and 3,031.46

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Solution

The fourth proportional to 3,975.61, 5,488.11 and 3,031.46 is: 4,184.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.61 : 5,488.11 = 3,031.46 : x
  2. Step 2: Convert to fraction form
    3,975.61/5,488.11 = 3,031.46/x
  3. Step 3: Cross multiply
    3,975.61x = 5,488.11 × 3,031.46
  4. Step 4: Simplify right side
    3,975.61x = 16,636,999.66
  5. Step 5: Solve for x
    x = 16,636,999.66/3,975.61
  6. Step 6: Final answer
    x = 4,184.77

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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.