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Finding the Fourth Proportional to 4,710.96, 6,500.28 and 3,054

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Solution

The fourth proportional to 4,710.96, 6,500.28 and 3,054 is: 4,213.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.96 : 6,500.28 = 3,054 : x
  2. Step 2: Convert to fraction form
    4,710.96/6,500.28 = 3,054/x
  3. Step 3: Cross multiply
    4,710.96x = 6,500.28 × 3,054
  4. Step 4: Simplify right side
    4,710.96x = 19,851,855.12
  5. Step 5: Solve for x
    x = 19,851,855.12/4,710.96
  6. Step 6: Final answer
    x = 4,213.97

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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.