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Finding the Fourth Proportional to 4,864.64, 6,711.97 and 2,975.53

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Solution

The fourth proportional to 4,864.64, 6,711.97 and 2,975.53 is: 4,105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.64 : 6,711.97 = 2,975.53 : x
  2. Step 2: Convert to fraction form
    4,864.64/6,711.97 = 2,975.53/x
  3. Step 3: Cross multiply
    4,864.64x = 6,711.97 × 2,975.53
  4. Step 4: Simplify right side
    4,864.64x = 19,971,682.11
  5. Step 5: Solve for x
    x = 19,971,682.11/4,864.64
  6. Step 6: Final answer
    x = 4,105.48

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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.