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Finding the Fourth Proportional to 4,786.53, 6,603.29 and 3,191.64

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Solution

The fourth proportional to 4,786.53, 6,603.29 and 3,191.64 is: 4,403.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.53 : 6,603.29 = 3,191.64 : x
  2. Step 2: Convert to fraction form
    4,786.53/6,603.29 = 3,191.64/x
  3. Step 3: Cross multiply
    4,786.53x = 6,603.29 × 3,191.64
  4. Step 4: Simplify right side
    4,786.53x = 21,075,295.74
  5. Step 5: Solve for x
    x = 21,075,295.74/4,786.53
  6. Step 6: Final answer
    x = 4,403.05

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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.