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Finding the Fourth Proportional to 6,541.03, 9,805.61 and 2,378.10

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Solution

The fourth proportional to 6,541.03, 9,805.61 and 2,378.10 is: 3,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.03 : 9,805.61 = 2,378.10 : x
  2. Step 2: Convert to fraction form
    6,541.03/9,805.61 = 2,378.10/x
  3. Step 3: Cross multiply
    6,541.03x = 9,805.61 × 2,378.10
  4. Step 4: Simplify right side
    6,541.03x = 23,318,696.63
  5. Step 5: Solve for x
    x = 23,318,696.63/6,541.03
  6. Step 6: Final answer
    x = 3,564.99

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Why These Related Problems?

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