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Finding the Fourth Proportional to 4,711.91, 6,497.12 and 3,858.50

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Solution

The fourth proportional to 4,711.91, 6,497.12 and 3,858.50 is: 5,320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.91 : 6,497.12 = 3,858.50 : x
  2. Step 2: Convert to fraction form
    4,711.91/6,497.12 = 3,858.50/x
  3. Step 3: Cross multiply
    4,711.91x = 6,497.12 × 3,858.50
  4. Step 4: Simplify right side
    4,711.91x = 25,069,085.74
  5. Step 5: Solve for x
    x = 25,069,085.74/4,711.91
  6. Step 6: Final answer
    x = 5,320.37

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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.