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Finding the Fourth Proportional to 5,365, 7,402.07 and 3,377.54

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Solution

The fourth proportional to 5,365, 7,402.07 and 3,377.54 is: 4,659.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365 : 7,402.07 = 3,377.54 : x
  2. Step 2: Convert to fraction form
    5,365/7,402.07 = 3,377.54/x
  3. Step 3: Cross multiply
    5,365x = 7,402.07 × 3,377.54
  4. Step 4: Simplify right side
    5,365x = 25,000,787.51
  5. Step 5: Solve for x
    x = 25,000,787.51/5,365
  6. Step 6: Final answer
    x = 4,659.98

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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.