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Finding the Fourth Proportional to 4,903.76, 6,762.57 and 3,782.91

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Solution

The fourth proportional to 4,903.76, 6,762.57 and 3,782.91 is: 5,216.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.76 : 6,762.57 = 3,782.91 : x
  2. Step 2: Convert to fraction form
    4,903.76/6,762.57 = 3,782.91/x
  3. Step 3: Cross multiply
    4,903.76x = 6,762.57 × 3,782.91
  4. Step 4: Simplify right side
    4,903.76x = 25,582,193.68
  5. Step 5: Solve for x
    x = 25,582,193.68/4,903.76
  6. Step 6: Final answer
    x = 5,216.86

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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.