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Finding the Fourth Proportional to 3,710.58, 5,120.39 and 2,031.66

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Solution

The fourth proportional to 3,710.58, 5,120.39 and 2,031.66 is: 2,803.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.58 : 5,120.39 = 2,031.66 : x
  2. Step 2: Convert to fraction form
    3,710.58/5,120.39 = 2,031.66/x
  3. Step 3: Cross multiply
    3,710.58x = 5,120.39 × 2,031.66
  4. Step 4: Simplify right side
    3,710.58x = 10,402,891.55
  5. Step 5: Solve for x
    x = 10,402,891.55/3,710.58
  6. Step 6: Final answer
    x = 2,803.58

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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.