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Finding the Fourth Proportional to 3,769.90, 5,648.45 and 3,117.10

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Solution

The fourth proportional to 3,769.90, 5,648.45 and 3,117.10 is: 4,670.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.90 : 5,648.45 = 3,117.10 : x
  2. Step 2: Convert to fraction form
    3,769.90/5,648.45 = 3,117.10/x
  3. Step 3: Cross multiply
    3,769.90x = 5,648.45 × 3,117.10
  4. Step 4: Simplify right side
    3,769.90x = 17,606,783.50
  5. Step 5: Solve for x
    x = 17,606,783.50/3,769.90
  6. Step 6: Final answer
    x = 4,670.36

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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.