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Finding the Fourth Proportional to 3,795.96, 5,696.10 and 3,031.32

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Solution

The fourth proportional to 3,795.96, 5,696.10 and 3,031.32 is: 4,548.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.96 : 5,696.10 = 3,031.32 : x
  2. Step 2: Convert to fraction form
    3,795.96/5,696.10 = 3,031.32/x
  3. Step 3: Cross multiply
    3,795.96x = 5,696.10 × 3,031.32
  4. Step 4: Simplify right side
    3,795.96x = 17,266,701.85
  5. Step 5: Solve for x
    x = 17,266,701.85/3,795.96
  6. Step 6: Final answer
    x = 4,548.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.