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Finding the Fourth Proportional to 3,710.51, 5,120.42 and 2,031.89

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Solution

The fourth proportional to 3,710.51, 5,120.42 and 2,031.89 is: 2,803.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.51 : 5,120.42 = 2,031.89 : x
  2. Step 2: Convert to fraction form
    3,710.51/5,120.42 = 2,031.89/x
  3. Step 3: Cross multiply
    3,710.51x = 5,120.42 × 2,031.89
  4. Step 4: Simplify right side
    3,710.51x = 10,404,094.43
  5. Step 5: Solve for x
    x = 10,404,094.43/3,710.51
  6. Step 6: Final answer
    x = 2,803.95

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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.