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Finding the Fourth Proportional to 4,716.59, 7,074.48 and 1,596.53

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Solution

The fourth proportional to 4,716.59, 7,074.48 and 1,596.53 is: 2,394.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.59 : 7,074.48 = 1,596.53 : x
  2. Step 2: Convert to fraction form
    4,716.59/7,074.48 = 1,596.53/x
  3. Step 3: Cross multiply
    4,716.59x = 7,074.48 × 1,596.53
  4. Step 4: Simplify right side
    4,716.59x = 11,294,591.46
  5. Step 5: Solve for x
    x = 11,294,591.46/4,716.59
  6. Step 6: Final answer
    x = 2,394.65

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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.