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Finding the Fourth Proportional to 5,356.64, 7,391.76 and 2,998.46

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Solution

The fourth proportional to 5,356.64, 7,391.76 and 2,998.46 is: 4,137.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.64 : 7,391.76 = 2,998.46 : x
  2. Step 2: Convert to fraction form
    5,356.64/7,391.76 = 2,998.46/x
  3. Step 3: Cross multiply
    5,356.64x = 7,391.76 × 2,998.46
  4. Step 4: Simplify right side
    5,356.64x = 22,163,903.92
  5. Step 5: Solve for x
    x = 22,163,903.92/5,356.64
  6. Step 6: Final answer
    x = 4,137.65

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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.