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Finding the Fourth Proportional to 3,742.93, 5,163.99 and 2,417.53

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Solution

The fourth proportional to 3,742.93, 5,163.99 and 2,417.53 is: 3,335.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.93 : 5,163.99 = 2,417.53 : x
  2. Step 2: Convert to fraction form
    3,742.93/5,163.99 = 2,417.53/x
  3. Step 3: Cross multiply
    3,742.93x = 5,163.99 × 2,417.53
  4. Step 4: Simplify right side
    3,742.93x = 12,484,100.74
  5. Step 5: Solve for x
    x = 12,484,100.74/3,742.93
  6. Step 6: Final answer
    x = 3,335.38

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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.