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Finding the Fourth Proportional to 4,696.16, 6,480.32 and 2,705.38

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Solution

The fourth proportional to 4,696.16, 6,480.32 and 2,705.38 is: 3,733.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.16 : 6,480.32 = 2,705.38 : x
  2. Step 2: Convert to fraction form
    4,696.16/6,480.32 = 2,705.38/x
  3. Step 3: Cross multiply
    4,696.16x = 6,480.32 × 2,705.38
  4. Step 4: Simplify right side
    4,696.16x = 17,531,728.12
  5. Step 5: Solve for x
    x = 17,531,728.12/4,696.16
  6. Step 6: Final answer
    x = 3,733.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.