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Finding the Fourth Proportional to 5,342.88, 7,376.04 and 3,577.50

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Solution

The fourth proportional to 5,342.88, 7,376.04 and 3,577.50 is: 4,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.88 : 7,376.04 = 3,577.50 : x
  2. Step 2: Convert to fraction form
    5,342.88/7,376.04 = 3,577.50/x
  3. Step 3: Cross multiply
    5,342.88x = 7,376.04 × 3,577.50
  4. Step 4: Simplify right side
    5,342.88x = 26,387,783.10
  5. Step 5: Solve for x
    x = 26,387,783.10/5,342.88
  6. Step 6: Final answer
    x = 4,938.87

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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.