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Finding the Fourth Proportional to 6,232.50, 8,598.50 and 3,994.08

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Solution

The fourth proportional to 6,232.50, 8,598.50 and 3,994.08 is: 5,510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.50 : 8,598.50 = 3,994.08 : x
  2. Step 2: Convert to fraction form
    6,232.50/8,598.50 = 3,994.08/x
  3. Step 3: Cross multiply
    6,232.50x = 8,598.50 × 3,994.08
  4. Step 4: Simplify right side
    6,232.50x = 34,343,096.88
  5. Step 5: Solve for x
    x = 34,343,096.88/6,232.50
  6. Step 6: Final answer
    x = 5,510.32

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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.