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Finding the Fourth Proportional to 4,896.16, 7,342 and 1,816

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Solution

The fourth proportional to 4,896.16, 7,342 and 1,816 is: 2,723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.16 : 7,342 = 1,816 : x
  2. Step 2: Convert to fraction form
    4,896.16/7,342 = 1,816/x
  3. Step 3: Cross multiply
    4,896.16x = 7,342 × 1,816
  4. Step 4: Simplify right side
    4,896.16x = 13,333,072
  5. Step 5: Solve for x
    x = 13,333,072/4,896.16
  6. Step 6: Final answer
    x = 2,723.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.