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Finding the Fourth Proportional to 4,716.54, 6,505.25 and 3,120.35

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Solution

The fourth proportional to 4,716.54, 6,505.25 and 3,120.35 is: 4,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.54 : 6,505.25 = 3,120.35 : x
  2. Step 2: Convert to fraction form
    4,716.54/6,505.25 = 3,120.35/x
  3. Step 3: Cross multiply
    4,716.54x = 6,505.25 × 3,120.35
  4. Step 4: Simplify right side
    4,716.54x = 20,298,608.71
  5. Step 5: Solve for x
    x = 20,298,608.71/4,716.54
  6. Step 6: Final answer
    x = 4,303.71

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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.