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Finding the Fourth Proportional to 4,656.78, 6,973.74 and 3,008.33

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Solution

The fourth proportional to 4,656.78, 6,973.74 and 3,008.33 is: 4,505.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.78 : 6,973.74 = 3,008.33 : x
  2. Step 2: Convert to fraction form
    4,656.78/6,973.74 = 3,008.33/x
  3. Step 3: Cross multiply
    4,656.78x = 6,973.74 × 3,008.33
  4. Step 4: Simplify right side
    4,656.78x = 20,979,311.25
  5. Step 5: Solve for x
    x = 20,979,311.25/4,656.78
  6. Step 6: Final answer
    x = 4,505.11

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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.