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Finding the Fourth Proportional to 6,405.64, 8,839.38 and 3,573.43

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Solution

The fourth proportional to 6,405.64, 8,839.38 and 3,573.43 is: 4,931.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.64 : 8,839.38 = 3,573.43 : x
  2. Step 2: Convert to fraction form
    6,405.64/8,839.38 = 3,573.43/x
  3. Step 3: Cross multiply
    6,405.64x = 8,839.38 × 3,573.43
  4. Step 4: Simplify right side
    6,405.64x = 31,586,905.67
  5. Step 5: Solve for x
    x = 31,586,905.67/6,405.64
  6. Step 6: Final answer
    x = 4,931.11

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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.