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Finding the Fourth Proportional to 4,925.72, 6,800 and 3,804.14

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Solution

The fourth proportional to 4,925.72, 6,800 and 3,804.14 is: 5,251.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,925.72 : 6,800 = 3,804.14 : x
  2. Step 2: Convert to fraction form
    4,925.72/6,800 = 3,804.14/x
  3. Step 3: Cross multiply
    4,925.72x = 6,800 × 3,804.14
  4. Step 4: Simplify right side
    4,925.72x = 25,868,152
  5. Step 5: Solve for x
    x = 25,868,152/4,925.72
  6. Step 6: Final answer
    x = 5,251.65

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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.