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Finding the Fourth Proportional to 4,782.68, 6,597.43 and 4,444.41

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Solution

The fourth proportional to 4,782.68, 6,597.43 and 4,444.41 is: 6,130.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.68 : 6,597.43 = 4,444.41 : x
  2. Step 2: Convert to fraction form
    4,782.68/6,597.43 = 4,444.41/x
  3. Step 3: Cross multiply
    4,782.68x = 6,597.43 × 4,444.41
  4. Step 4: Simplify right side
    4,782.68x = 29,321,683.87
  5. Step 5: Solve for x
    x = 29,321,683.87/4,782.68
  6. Step 6: Final answer
    x = 6,130.81

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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.