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Finding the Fourth Proportional to 5,046.12, 7,597.97 and 4,464.74

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Solution

The fourth proportional to 5,046.12, 7,597.97 and 4,464.74 is: 6,722.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.12 : 7,597.97 = 4,464.74 : x
  2. Step 2: Convert to fraction form
    5,046.12/7,597.97 = 4,464.74/x
  3. Step 3: Cross multiply
    5,046.12x = 7,597.97 × 4,464.74
  4. Step 4: Simplify right side
    5,046.12x = 33,922,900.26
  5. Step 5: Solve for x
    x = 33,922,900.26/5,046.12
  6. Step 6: Final answer
    x = 6,722.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.