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Finding the Fourth Proportional to 3,486.56, 4,811.14 and 2,070.01

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Solution

The fourth proportional to 3,486.56, 4,811.14 and 2,070.01 is: 2,856.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.56 : 4,811.14 = 2,070.01 : x
  2. Step 2: Convert to fraction form
    3,486.56/4,811.14 = 2,070.01/x
  3. Step 3: Cross multiply
    3,486.56x = 4,811.14 × 2,070.01
  4. Step 4: Simplify right side
    3,486.56x = 9,959,107.91
  5. Step 5: Solve for x
    x = 9,959,107.91/3,486.56
  6. Step 6: Final answer
    x = 2,856.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.