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Finding the Fourth Proportional to 4,762.56, 6,575.76 and 3,086.40

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Solution

The fourth proportional to 4,762.56, 6,575.76 and 3,086.40 is: 4,261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.56 : 6,575.76 = 3,086.40 : x
  2. Step 2: Convert to fraction form
    4,762.56/6,575.76 = 3,086.40/x
  3. Step 3: Cross multiply
    4,762.56x = 6,575.76 × 3,086.40
  4. Step 4: Simplify right side
    4,762.56x = 20,295,425.66
  5. Step 5: Solve for x
    x = 20,295,425.66/4,762.56
  6. Step 6: Final answer
    x = 4,261.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.