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Finding the Fourth Proportional to 4,765.64, 6,579.79 and 2,975.84

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Solution

The fourth proportional to 4,765.64, 6,579.79 and 2,975.84 is: 4,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.64 : 6,579.79 = 2,975.84 : x
  2. Step 2: Convert to fraction form
    4,765.64/6,579.79 = 2,975.84/x
  3. Step 3: Cross multiply
    4,765.64x = 6,579.79 × 2,975.84
  4. Step 4: Simplify right side
    4,765.64x = 19,580,402.27
  5. Step 5: Solve for x
    x = 19,580,402.27/4,765.64
  6. Step 6: Final answer
    x = 4,108.66

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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.