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Finding the Fourth Proportional to 4,472.94, 6,710.62 and 3,182.60

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Solution

The fourth proportional to 4,472.94, 6,710.62 and 3,182.60 is: 4,774.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.94 : 6,710.62 = 3,182.60 : x
  2. Step 2: Convert to fraction form
    4,472.94/6,710.62 = 3,182.60/x
  3. Step 3: Cross multiply
    4,472.94x = 6,710.62 × 3,182.60
  4. Step 4: Simplify right side
    4,472.94x = 21,357,219.21
  5. Step 5: Solve for x
    x = 21,357,219.21/4,472.94
  6. Step 6: Final answer
    x = 4,774.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.