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Finding the Fourth Proportional to 4,975.70, 6,865.30 and 4,182.04

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Solution

The fourth proportional to 4,975.70, 6,865.30 and 4,182.04 is: 5,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.70 : 6,865.30 = 4,182.04 : x
  2. Step 2: Convert to fraction form
    4,975.70/6,865.30 = 4,182.04/x
  3. Step 3: Cross multiply
    4,975.70x = 6,865.30 × 4,182.04
  4. Step 4: Simplify right side
    4,975.70x = 28,710,959.21
  5. Step 5: Solve for x
    x = 28,710,959.21/4,975.70
  6. Step 6: Final answer
    x = 5,770.24

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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.