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Finding the Fourth Proportional to 3,841.76, 5,763 and 2,312.48

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Solution

The fourth proportional to 3,841.76, 5,763 and 2,312.48 is: 3,468.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.76 : 5,763 = 2,312.48 : x
  2. Step 2: Convert to fraction form
    3,841.76/5,763 = 2,312.48/x
  3. Step 3: Cross multiply
    3,841.76x = 5,763 × 2,312.48
  4. Step 4: Simplify right side
    3,841.76x = 13,326,822.24
  5. Step 5: Solve for x
    x = 13,326,822.24/3,841.76
  6. Step 6: Final answer
    x = 3,468.94

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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.