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Finding the Fourth Proportional to 5,762.95, 7,947.62 and 3,772.78

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Solution

The fourth proportional to 5,762.95, 7,947.62 and 3,772.78 is: 5,203.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.95 : 7,947.62 = 3,772.78 : x
  2. Step 2: Convert to fraction form
    5,762.95/7,947.62 = 3,772.78/x
  3. Step 3: Cross multiply
    5,762.95x = 7,947.62 × 3,772.78
  4. Step 4: Simplify right side
    5,762.95x = 29,984,597.20
  5. Step 5: Solve for x
    x = 29,984,597.20/5,762.95
  6. Step 6: Final answer
    x = 5,203.00

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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.