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Finding the Fourth Proportional to 4,916, 6,782.64 and 2,925.56

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Solution

The fourth proportional to 4,916, 6,782.64 and 2,925.56 is: 4,036.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916 : 6,782.64 = 2,925.56 : x
  2. Step 2: Convert to fraction form
    4,916/6,782.64 = 2,925.56/x
  3. Step 3: Cross multiply
    4,916x = 6,782.64 × 2,925.56
  4. Step 4: Simplify right side
    4,916x = 19,843,020.28
  5. Step 5: Solve for x
    x = 19,843,020.28/4,916
  6. Step 6: Final answer
    x = 4,036.42

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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.