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Finding the Fourth Proportional to 4,696.76, 6,486.84 and 3,202.10

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Solution

The fourth proportional to 4,696.76, 6,486.84 and 3,202.10 is: 4,422.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.76 : 6,486.84 = 3,202.10 : x
  2. Step 2: Convert to fraction form
    4,696.76/6,486.84 = 3,202.10/x
  3. Step 3: Cross multiply
    4,696.76x = 6,486.84 × 3,202.10
  4. Step 4: Simplify right side
    4,696.76x = 20,771,510.36
  5. Step 5: Solve for x
    x = 20,771,510.36/4,696.76
  6. Step 6: Final answer
    x = 4,422.52

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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.