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Finding the Fourth Proportional to 5,308.08, 7,908.78 and 5,010

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Solution

The fourth proportional to 5,308.08, 7,908.78 and 5,010 is: 7,464.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.08 : 7,908.78 = 5,010 : x
  2. Step 2: Convert to fraction form
    5,308.08/7,908.78 = 5,010/x
  3. Step 3: Cross multiply
    5,308.08x = 7,908.78 × 5,010
  4. Step 4: Simplify right side
    5,308.08x = 39,622,987.80
  5. Step 5: Solve for x
    x = 39,622,987.80/5,308.08
  6. Step 6: Final answer
    x = 7,464.66

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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.