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Finding the Fourth Proportional to 3,710.34, 5,120.12 and 2,031.71

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Solution

The fourth proportional to 3,710.34, 5,120.12 and 2,031.71 is: 2,803.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.34 : 5,120.12 = 2,031.71 : x
  2. Step 2: Convert to fraction form
    3,710.34/5,120.12 = 2,031.71/x
  3. Step 3: Cross multiply
    3,710.34x = 5,120.12 × 2,031.71
  4. Step 4: Simplify right side
    3,710.34x = 10,402,563.25
  5. Step 5: Solve for x
    x = 10,402,563.25/3,710.34
  6. Step 6: Final answer
    x = 2,803.67

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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.