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Finding the Fourth Proportional to 5,355, 7,390.58 and 3,867.84

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Solution

The fourth proportional to 5,355, 7,390.58 and 3,867.84 is: 5,338.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355 : 7,390.58 = 3,867.84 : x
  2. Step 2: Convert to fraction form
    5,355/7,390.58 = 3,867.84/x
  3. Step 3: Cross multiply
    5,355x = 7,390.58 × 3,867.84
  4. Step 4: Simplify right side
    5,355x = 28,585,561.61
  5. Step 5: Solve for x
    x = 28,585,561.61/5,355
  6. Step 6: Final answer
    x = 5,338.11

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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.