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Finding the Fourth Proportional to 4,854.94, 7,288.53 and 4,129.13

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Solution

The fourth proportional to 4,854.94, 7,288.53 and 4,129.13 is: 6,198.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.94 : 7,288.53 = 4,129.13 : x
  2. Step 2: Convert to fraction form
    4,854.94/7,288.53 = 4,129.13/x
  3. Step 3: Cross multiply
    4,854.94x = 7,288.53 × 4,129.13
  4. Step 4: Simplify right side
    4,854.94x = 30,095,272.84
  5. Step 5: Solve for x
    x = 30,095,272.84/4,854.94
  6. Step 6: Final answer
    x = 6,198.90

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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.