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Finding the Fourth Proportional to 6,598.85, 9,901.38 and 3,084.57

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Solution

The fourth proportional to 6,598.85, 9,901.38 and 3,084.57 is: 4,628.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.85 : 9,901.38 = 3,084.57 : x
  2. Step 2: Convert to fraction form
    6,598.85/9,901.38 = 3,084.57/x
  3. Step 3: Cross multiply
    6,598.85x = 9,901.38 × 3,084.57
  4. Step 4: Simplify right side
    6,598.85x = 30,541,499.71
  5. Step 5: Solve for x
    x = 30,541,499.71/6,598.85
  6. Step 6: Final answer
    x = 4,628.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.