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Finding the Fourth Proportional to 6,322.56, 8,725.20 and 3,528

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Solution

The fourth proportional to 6,322.56, 8,725.20 and 3,528 is: 4,868.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.56 : 8,725.20 = 3,528 : x
  2. Step 2: Convert to fraction form
    6,322.56/8,725.20 = 3,528/x
  3. Step 3: Cross multiply
    6,322.56x = 8,725.20 × 3,528
  4. Step 4: Simplify right side
    6,322.56x = 30,782,505.60
  5. Step 5: Solve for x
    x = 30,782,505.60/6,322.56
  6. Step 6: Final answer
    x = 4,868.68

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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.