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Finding the Fourth Proportional to 5,385.87, 7,415.63 and 4,893.78

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Solution

The fourth proportional to 5,385.87, 7,415.63 and 4,893.78 is: 6,738.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.87 : 7,415.63 = 4,893.78 : x
  2. Step 2: Convert to fraction form
    5,385.87/7,415.63 = 4,893.78/x
  3. Step 3: Cross multiply
    5,385.87x = 7,415.63 × 4,893.78
  4. Step 4: Simplify right side
    5,385.87x = 36,290,437.31
  5. Step 5: Solve for x
    x = 36,290,437.31/5,385.87
  6. Step 6: Final answer
    x = 6,738.08

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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.