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Finding the Fourth Proportional to 3,742.32, 5,166.54 and 2,418

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Solution

The fourth proportional to 3,742.32, 5,166.54 and 2,418 is: 3,338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.32 : 5,166.54 = 2,418 : x
  2. Step 2: Convert to fraction form
    3,742.32/5,166.54 = 2,418/x
  3. Step 3: Cross multiply
    3,742.32x = 5,166.54 × 2,418
  4. Step 4: Simplify right side
    3,742.32x = 12,492,693.72
  5. Step 5: Solve for x
    x = 12,492,693.72/3,742.32
  6. Step 6: Final answer
    x = 3,338.22

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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.