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Finding the Fourth Proportional to 5,109.90, 7,048.14 and 4,938.48

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Solution

The fourth proportional to 5,109.90, 7,048.14 and 4,938.48 is: 6,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.90 : 7,048.14 = 4,938.48 : x
  2. Step 2: Convert to fraction form
    5,109.90/7,048.14 = 4,938.48/x
  3. Step 3: Cross multiply
    5,109.90x = 7,048.14 × 4,938.48
  4. Step 4: Simplify right side
    5,109.90x = 34,807,098.43
  5. Step 5: Solve for x
    x = 34,807,098.43/5,109.90
  6. Step 6: Final answer
    x = 6,811.70

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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.