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Finding the Fourth Proportional to 5,390.84, 7,439.38 and 3,032.84

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Solution

The fourth proportional to 5,390.84, 7,439.38 and 3,032.84 is: 4,185.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.84 : 7,439.38 = 3,032.84 : x
  2. Step 2: Convert to fraction form
    5,390.84/7,439.38 = 3,032.84/x
  3. Step 3: Cross multiply
    5,390.84x = 7,439.38 × 3,032.84
  4. Step 4: Simplify right side
    5,390.84x = 22,562,460.26
  5. Step 5: Solve for x
    x = 22,562,460.26/5,390.84
  6. Step 6: Final answer
    x = 4,185.33

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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.