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Finding the Fourth Proportional to 3,653.84, 5,505.16 and 3,307.62

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Solution

The fourth proportional to 3,653.84, 5,505.16 and 3,307.62 is: 4,983.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.84 : 5,505.16 = 3,307.62 : x
  2. Step 2: Convert to fraction form
    3,653.84/5,505.16 = 3,307.62/x
  3. Step 3: Cross multiply
    3,653.84x = 5,505.16 × 3,307.62
  4. Step 4: Simplify right side
    3,653.84x = 18,208,977.32
  5. Step 5: Solve for x
    x = 18,208,977.32/3,653.84
  6. Step 6: Final answer
    x = 4,983.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.