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Finding the Fourth Proportional to 3,742.22, 5,607.13 and 2,276.94

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Solution

The fourth proportional to 3,742.22, 5,607.13 and 2,276.94 is: 3,411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.22 : 5,607.13 = 2,276.94 : x
  2. Step 2: Convert to fraction form
    3,742.22/5,607.13 = 2,276.94/x
  3. Step 3: Cross multiply
    3,742.22x = 5,607.13 × 2,276.94
  4. Step 4: Simplify right side
    3,742.22x = 12,767,098.58
  5. Step 5: Solve for x
    x = 12,767,098.58/3,742.22
  6. Step 6: Final answer
    x = 3,411.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.