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Finding the Fourth Proportional to 3,752.84, 5,178.84 and 2,074.22

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Solution

The fourth proportional to 3,752.84, 5,178.84 and 2,074.22 is: 2,862.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.84 : 5,178.84 = 2,074.22 : x
  2. Step 2: Convert to fraction form
    3,752.84/5,178.84 = 2,074.22/x
  3. Step 3: Cross multiply
    3,752.84x = 5,178.84 × 2,074.22
  4. Step 4: Simplify right side
    3,752.84x = 10,742,053.50
  5. Step 5: Solve for x
    x = 10,742,053.50/3,752.84
  6. Step 6: Final answer
    x = 2,862.38

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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.