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Finding the Fourth Proportional to 4,696.54, 6,476.80 and 3,504.40

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Solution

The fourth proportional to 4,696.54, 6,476.80 and 3,504.40 is: 4,832.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.54 : 6,476.80 = 3,504.40 : x
  2. Step 2: Convert to fraction form
    4,696.54/6,476.80 = 3,504.40/x
  3. Step 3: Cross multiply
    4,696.54x = 6,476.80 × 3,504.40
  4. Step 4: Simplify right side
    4,696.54x = 22,697,297.92
  5. Step 5: Solve for x
    x = 22,697,297.92/4,696.54
  6. Step 6: Final answer
    x = 4,832.77

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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.