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Finding the Fourth Proportional to 5,322.17, 7,340.85 and 4,612.76

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Solution

The fourth proportional to 5,322.17, 7,340.85 and 4,612.76 is: 6,362.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.17 : 7,340.85 = 4,612.76 : x
  2. Step 2: Convert to fraction form
    5,322.17/7,340.85 = 4,612.76/x
  3. Step 3: Cross multiply
    5,322.17x = 7,340.85 × 4,612.76
  4. Step 4: Simplify right side
    5,322.17x = 33,861,579.25
  5. Step 5: Solve for x
    x = 33,861,579.25/5,322.17
  6. Step 6: Final answer
    x = 6,362.36

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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.