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Finding the Fourth Proportional to 3,487.56, 4,812.44 and 2,070.74

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Solution

The fourth proportional to 3,487.56, 4,812.44 and 2,070.74 is: 2,857.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.56 : 4,812.44 = 2,070.74 : x
  2. Step 2: Convert to fraction form
    3,487.56/4,812.44 = 2,070.74/x
  3. Step 3: Cross multiply
    3,487.56x = 4,812.44 × 2,070.74
  4. Step 4: Simplify right side
    3,487.56x = 9,965,312.01
  5. Step 5: Solve for x
    x = 9,965,312.01/3,487.56
  6. Step 6: Final answer
    x = 2,857.39

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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.