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Finding the Fourth Proportional to 5,117.40, 7,062 and 2,879.28

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Solution

The fourth proportional to 5,117.40, 7,062 and 2,879.28 is: 3,973.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.40 : 7,062 = 2,879.28 : x
  2. Step 2: Convert to fraction form
    5,117.40/7,062 = 2,879.28/x
  3. Step 3: Cross multiply
    5,117.40x = 7,062 × 2,879.28
  4. Step 4: Simplify right side
    5,117.40x = 20,333,475.36
  5. Step 5: Solve for x
    x = 20,333,475.36/5,117.40
  6. Step 6: Final answer
    x = 3,973.40

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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.