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Finding the Fourth Proportional to 5,038.92, 6,960.36 and 4,202.36

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Solution

The fourth proportional to 5,038.92, 6,960.36 and 4,202.36 is: 5,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.92 : 6,960.36 = 4,202.36 : x
  2. Step 2: Convert to fraction form
    5,038.92/6,960.36 = 4,202.36/x
  3. Step 3: Cross multiply
    5,038.92x = 6,960.36 × 4,202.36
  4. Step 4: Simplify right side
    5,038.92x = 29,249,938.45
  5. Step 5: Solve for x
    x = 29,249,938.45/5,038.92
  6. Step 6: Final answer
    x = 5,804.80

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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.