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Finding the Fourth Proportional to 5,762.54, 7,955.62 and 3,876.86

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Solution

The fourth proportional to 5,762.54, 7,955.62 and 3,876.86 is: 5,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.54 : 7,955.62 = 3,876.86 : x
  2. Step 2: Convert to fraction form
    5,762.54/7,955.62 = 3,876.86/x
  3. Step 3: Cross multiply
    5,762.54x = 7,955.62 × 3,876.86
  4. Step 4: Simplify right side
    5,762.54x = 30,842,824.95
  5. Step 5: Solve for x
    x = 30,842,824.95/5,762.54
  6. Step 6: Final answer
    x = 5,352.30

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1.5x scale

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.