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Finding the Fourth Proportional to 4,851.47, 6,696.20 and 2,964.64

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Solution

The fourth proportional to 4,851.47, 6,696.20 and 2,964.64 is: 4,091.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851.47 : 6,696.20 = 2,964.64 : x
  2. Step 2: Convert to fraction form
    4,851.47/6,696.20 = 2,964.64/x
  3. Step 3: Cross multiply
    4,851.47x = 6,696.20 × 2,964.64
  4. Step 4: Simplify right side
    4,851.47x = 19,851,816.18
  5. Step 5: Solve for x
    x = 19,851,816.18/4,851.47
  6. Step 6: Final answer
    x = 4,091.92

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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.