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Finding the Fourth Proportional to 4,896, 7,300.80 and 4,538.88

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Solution

The fourth proportional to 4,896, 7,300.80 and 4,538.88 is: 6,768.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896 : 7,300.80 = 4,538.88 : x
  2. Step 2: Convert to fraction form
    4,896/7,300.80 = 4,538.88/x
  3. Step 3: Cross multiply
    4,896x = 7,300.80 × 4,538.88
  4. Step 4: Simplify right side
    4,896x = 33,137,455.10
  5. Step 5: Solve for x
    x = 33,137,455.10/4,896
  6. Step 6: Final answer
    x = 6,768.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.